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Find the equation of the line of the form y=mx+b that passes through the following pair of points 1.(3,-1) (7,-5) 2.(2,3) (5,6) ,2) (4,2)

Answers

  • Réponse publiée par: joyce5512

    5y=3x+11

    Step-by-step explanation:

    (y -  {y}^{1} ) =  \frac{y ^{2} - y ^{1}  }{ {x}^{2} -  {y}^{1} } (x -  {x}^{1} )

    (3, 4), (-2, 1)

    (x1, y1), (x2, y2)

    SUBSTITUTE

    (y-4) = 1-4/-2-3(x-3)

    (y-4) = -3/-5(x-3)

    (y-4) = 3/5(x-3)

    (y-4) =3/5x - 9/5

    y = 3/5x - 9/5 + 4

    y = 3/5x + 11/5

    (y = 3/5x + 11/5) 5

    5y=3x+11
  • Réponse publiée par: sherelyn0013
    EQUATIONS OF LINEAR FUNCTION The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line. Read the details about slope in

    Writing the equations of lines, however, requires the use of other forms depending on the given properties of the function:

    1. THE SLOPE- INTERCEPT FORM- the linear function has been defined in terms of the equation f(x) = mx +b. this form is called the slope intercept form.

    2. THE POINT- SLOPE FORM-  IF the graph of linear function y has a slope m and passes through the point ( x₁, y₁ , then its equation is y - y1 = m (x - x1).

    3. THE TWO –POINT FORM – if the graph of the linear function y passes through the point ( x₁, y₁) and (x₂, y₂), its equation according to the point – slope form is   y - y₁ = m (x - x₁). But by its definition m = (y₂-y₁ )/(x₂-x₁) . By substitution y - y₁ = (y₂-y₁ )/(x₂-x₁) (x - x₁).

    Read the details about slope and an example of slope in

    Given: Find the equation of the line of the form y = mx + b that passes through the following pairs of points. 10. (- 5/2 , 3/2) and (1/2, -1/4)

    STEPS:   Substitute the values to the TWO- POINT FORM, then transform the resulting equation in the required form: SimplifySOLUTION:

    X₁ = -5/2, x₂ = 1/2

    Y₁ = 3/2, y₂ = -1/4

    y - y₁ = (y₂-y₁ )/(x₂-x₁) (x - x₁)

    y- 3/2= ((-1/4-3/2)/(-1/2- -5/2) )( x - - 5/2)

    y - 3/2 = ((-7/4/ 2))( x+5/2)

    y -3/2  = -7/2(x +5/2)

    y -3/2  = -7/2x   - 35/4

    y= -7/2x – 35/ 4 + 3/2

    y= -7/2 x – 29/ 4

    the equation is  y= -7/2 x – 29/ 4

    Read the  details about an example of slope and write the equation of the line in

  • Réponse publiée par: elaineeee
    EQUATIONS OF LINEAR FUNCTION The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line. Read the details about slope in

    Writing the equations of lines, however, requires the use of other forms depending on the given properties of the function:

    1. THE SLOPE- INTERCEPT FORM- the linear function has been defined in terms of the equation f(x) = mx +b. this form is called the slope intercept form.

    2. THE POINT- SLOPE FORM- IF the graph of linear function y has a slope m and passes through the point ( x₁ , y₁) , then its equation is y - y₁= m (x - x₁).

    3. THE TWO –POINT FORM – if the graph of the linear function y passes through the point ( x₁, y₁) and (x₂, y₂), its equation according to the point – slope form is   y - y₁ = m (x - x₁). But by its definition m = (y₂-y₁ )/(x₂-x₁). By substitution y - y1  = (y2-y1 )/(x2-x1) (x - x1).

    Read the details about slope and an example of slope in

    Given: Find the equation of the line of the form y = mx + b that passes through the following pairs of points. 9. (-15/2 , 1/3) and (- 1/2, 1/3)

    STEPS:

    Substitute the values to the TWO- POINT FORM, then transform the resulting equation in the required form: Simplify

    SOLUTION:

    X₁ = -15/2, x₂ = -1/2,

    Y₁ = 1/3, y₂=1/3

    y - y₁  = ((y₂-y₁)/(x₂-x₁)) (x - x₁)

    y- 1/3 = (1/3-1/3)/(-1/2-( -15/2)) ( x - (- 15/2))

    y - 1/3 = ((0/ 7))( x+15/2)

    y -1/3  = 0 (x +15/2)

    y -1/3  = 0  + 0

    y=  1/3

    the equation is y=  1/3

    Read the  details about an example of slope and write the equation of the line in

  • Réponse publiée par: janalynmae
    EQUATIONS OF LINEAR FUNCTION The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line. Read the details about slope in

    Writing the equations of lines, however, requires the use of other forms depending on the given properties of the function:

    1. THE SLOPE- INTERCEPT FORM- the linear function has been defined in terms of the equation f(x) = mx +b. this form is called the slope intercept form.

    2. THE POINT- SLOPE FORM-  IF the graph of linear function y has a slope m and passes through the point ( x1 , y1) , then its equation is y - y1 = m (x - x1).

    3. THE TWO –POINT FORM – if the graph of the linear function y passes through the point ( x1, y1) and (x2, y2), its equation according to the point – slope form is   y - y1 = m (x - x1). But by its definition m = (y2-y1 )/(x2-x1). By substitution y - y1  = (y2-y1 )/(x2-x1) (x - x1).

    Read the details about slope and an example of slope in

    Given: Find the equation of the line of the form y = mx + b that passes through the following pairs of points. 6. (0, 1/2) and (1, -1/2 )

    STEPS:

    Substitute the values to the TWO- POINT FORM, then transform the resulting equation in the required form:

    Simplify

    SOLUTION;

    X1 = 0, x2 = 1,

    Y1 = 1/2, y2 = -1/2

    y - y1  = (y2-y1 )/(x2-x1) (x - x1)

    y- 1/2 = (-1/2-1/2)/(0- 1) ( x -0)

    y -1/2 = ((-1)/-1 ))( x-0)

    y -1/2 = 1 ( x-0)

    y-1/2 = x -0

    y  = x + 1/2

    the equation is y  = x + 1/2

    Read the  details about an example of slope and write the equation of the line in

  • Réponse publiée par: shannel99
    EQUATIONS OF LINEAR FUNCTION The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line. Read the details about slope in

    Writing the equations of lines, however, requires the use of other forms depending on the given properties of the function:

    1. THE SLOPE- INTERCEPT FORM- the linear function has been defined in terms of the equation f(x) = mx +b. this form is called the slope intercept form.

    2. THE POINT- SLOPE FORM- IF the graph of linear function y has a slope m and passes through the point ( x₁ , y₁) , then its equation is y - y₁ = m (x - x₁).

    3. THE TWO –POINT FORM – if the graph of the linear function y passes through the point ( x₁ y₁) and (x₂, y₂), its equation according to the point – slope form is   y - y₁= m (x - x₁). But by its definition m = (y₂-y₁)/(x2-x₁). By substitution y - y₁  = (y₂-y₁)/(x₂-x₁) (x - x₁).

    Read the details about slope and an example of slope in

    Given: Find the equation of the line of the form y = mx + b that passes through the following pairs of points. 8. (-1/2, -5/2) and (- 3/2, 3/2)

    STEPS:

    Substitute the values to the TWO- POINT FORM, then transform the resulting equation in the required form: SimplifySOLUTION;

    X₁ = -1/2, X₂ = -3/2,

    Y₁= -5/2, y₂ =3/2

    y - y₁  = (y₂-y₁)/(x₂-x₁) (x - x₁)

    y- -5/2 = (3/2  - ( -5/2))/(-3/2- (-1/2)) ( x -( -1/2))

    y +5/2 = ((4/ -1)( x+1/2)

    y + 5/2  = -4(x +1/2)

    y + 5/2  = -4x -2

    y= -4x -2 -5/2

    y = -4x -9/2

    the equation is y = -4x -9/2

    Read the  details about an example of slope and write the equation of the line in

  • Réponse publiée par: ShairaGailSanchez
    EQUATIONS OF LINEAR FUNCTION The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line. Read the details about slope in Writing the equations of lines, however, requires the use of other forms depending on the given properties of the function: THE SLOPE- INTERCEPT FORM- the linear function has been defined in terms of the equation f(x) = mx +b. this form is called the slope intercept form. THE POINT- SLOPE FORM-  IF the graph of linear function y has a slope m and passes through the point ( x₁ , y₁) , then its equation is y - y₁ = m (x - x₁).

    THE TWO –POINT FORM – if the graph of the linear function y passes through the point ( x₁, y₁) and (x₂, y₂), its equation according to the point – slope form is   y - y₁= m (x - x₁). But by its definition m = (y₂-y₁ )/(x₂-x₁)

    By substitution y - y1  = (y₂-y₁ )/(x₂-x₁) (x - x₁).

    Read the details about slope and an example of slope in

    Given: Find the equation of the line of the form y = mx + b that passes through the following pairs of points. 7. (7/2, 1) and (- 1/2, 2)

    STEPS:

    Substitute the values to the TWO- POINT FORM, then transform the resulting equation in the required form: SimplifySOLUTION;

    X1 = 7/2, x2 = -1/2,

    Y1 = 1, y2 = 2

    y - y1  = (y2-y1 )/(x2-x1) (x - x1)

    y- 1 = (2-1)/(-1/2- 7/2) ( x -7/2)

    y -1 = (1/-4 )( x-7/2)

    y -1 = -1/4x +7/8

    y  =  -1/4x + 7/8 +1

    y = -1/4x + 15/6

    the equation is y = -1/4x +15/6

    Read the  details about an example of slope and write the equation of the line in

  • Réponse publiée par: 09330399672
    EQUATIONS OF LINEAR FUNCTION The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line. Read the details about slope in Writing the equations of lines, however, requires the use of other forms depending on the given properties of the function:

    1. THE SLOPE- INTERCEPT FORM- the linear function has been defined in terms of the equation f(x) = mx +b. this form is called the slope intercept form.

    2. THE POINT- SLOPE FORM-  IF the graph of linear function y has a slope m and passes through the point ( x₁ , y₁) , then its equation is y - y₁= m (x - x₁).

    3. THE TWO –POINT FORM – if the graph of the linear function y passes through the point ( x₁ y₁) and (x₂, y₂), its equation according to the point – slope form is   y - y₁ = m (x - x₁). But by its definition m = (y₂-y₁ )/(x₂-x₁)

    By substitution y - y₁= (y₂-y1 )/(x₂-x1) (x - x₁).

    Read the details about slope and an example of slope in

    Given: Find the equation of the line of the form y = mx + b that passes through the following pairs of points. 3. (3, -1) and (7, -5)

    STEPS:

    Substitute the values to the TWO- POINT FORM, then transform the resulting equation in the required form: Simplify

    SOLUTION;

    X₁ = 3, x₂ = 7,

    Y₁ = -1, y₂= -5

    y - y₁ = ((y₂-y₁)/(x₂-x₁))(x - x₁)

    y- (-1) = ((-5--1)/(7-3) )( x -3)

    y + 1 =( (-5 +1)/4) ( x-3)

    y +1 = -4/4 ( x-3)

    y+1 = -1 ( x-3)

    y+1= -x +3

    y = -x +3 -1

    y= -x +2

    the equation is y= -x +2

    Read the  details about an example of slope and write the equation of the line in

  • Réponse publiée par: nelspas422
    EQUATIONS OF LINEAR FUNCTION The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line. Read the details about slope in Writing the equations of lines, however, requires the use of other forms depending on the given properties of the function:

    1. THE SLOPE- INTERCEPT FORM- the linear function has been defined in terms of the equation f(x) = mx +b. this form is called the slope intercept form.

    2. THE POINT- SLOPE FORM-  IF the graph of linear function y has a slope m and passes through the point ( x₁ , y₁) , then its equation is y - y₁ = m (x - x₁).

    3. THE TWO –POINT FORM – if the graph of the linear function y passes through the point ( x₁ y₁) and (x₂, y₂), its equation according to the point – slope form is   y - y₁ = m (x - x₁). But by its definition m = (y₂-y₁)/(x₂-x₁)

    By substitution y - y₁  = (y₂-y₁ )/(x₂-x₁) (x - x₁).

    Read the details about slope and an example of slope in

    Given: Find the equation of the line of the form y = mx + b that passes through the following pairs of points. 4. (-8, 5) and (-9, 11)

    STEPS: Substitute the values to the TWO- POINT FORM, then transform the resulting equation in the required form: SimplifySOLUTION;

    X1 = -8, x2 = -9,

    Y1 = 5, y2 = 11

    y - y1  = (y₂-y₁ )/(x₂-x₁) (x - x₁)

    y- 5 = (11-5)/(-9- -8) ( x - -8)

    y -5 = ((6)/-9 +8 ))( x+8)

    y -5 = ((6/ -1)) ( x+8)

    y-5 = -6 ( x+8)

    y -5 = -6x -48

    y = -6x -48 +5

    y= -6x -43

    the equation is y= -6x -43

    Read the  details about an example of slope and write the equation of the line in

  • Réponse publiée par: abyzwlye
    EQUATIONS OF LINEAR FUNCTION The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line. Read the details about slope in Writing the equations of lines, however, requires the use of other forms depending on the given properties of the function:

    1. THE SLOPE- INTERCEPT FORM- the linear function has been defined in terms of the equation f(x) = mx +b. this form is called the slope intercept form.

    2. THE POINT- SLOPE FORM-  IF the graph of linear function y has a slope m and passes through the point ( x1 , y1) , then its equation is y - y1 = m (x - x1).

    3. THE TWO –POINT FORM – if the graph of the linear function y passes through the point ( x₁, y₁ and (x₂, y₂), its equation according to the point – slope form is   y - y₁ = m (x - x₁). But by its definition m = (y₂-y₁ )/(x₂-x₁)

    By substitution y - y₁  = (y₂-y₁ )/(x₂-x₁)( (x - x1)).

    Read the details about slope and an example of slope in

    Given: Find the equation of the line of the form y = mx + b that passes through the following pairs of points. 1. (3, 4) and (4, 7)

    STEPS: Substitute the values to the TWO- POINT FORM, then transform the resulting equation in the required form: simplifySOLUTION;

    X1 = 3, x2 = 4,

    Y1 = 4, y2 = 7

    y - y₁  = (y₂-y₁ )/(x₂-x₁)( (x - x₁))

    y- 4 = (7-4)/(4-3) ( x -3)

    y-4 = 3/1 ( x-3)

    y -4 = 3x -9

    y= 3x -9 +4

    y = 3x -5

    the equation is y = 3x -5

    Read the  details about an example of slope and write the equation of the line in

  • Réponse publiée par: snow01
    EQUATIONS OF LINEAR FUNCTION The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line. Read the details about slope in Writing the equations of lines, however, requires the use of other forms depending on the given properties of the function:

    1. THE SLOPE- INTERCEPT FORM- the linear function has been defined in terms of the equation f(x) = mx +b. this form is called the slope intercept form.

    2. THE POINT- SLOPE FORM-  IF the graph of linear function y has a slope m and passes through the point ( x₁ , y₁) , then its equation is y - y₁= m (x - x₁).

    3. THE TWO –POINT FORM – if the graph of the linear function y passes through the point ( x₁, y₁) and (x₂, y₂), its equation according to the point – slope form is   y - y₁ = m (x - x1). But by its definition m = (y₂-y₁ )/(x₂-x₁). By substitution y - y₁  = (y₂-y₁ )/(x₂-x₁) (x - x₁).

    Read the details about slope and an example of slope in

    Given: Find the equation of the line of the form y = mx + b that passes through the following pairs of points. 5. (-1, 10) and (0, 15)

    STEPS:

    1. Substitute the values to the TWO- POINT FORM, then transform the resulting equation in the required form:

    2. Simplify

    SOLUTION;

    X₁ = -1, x₂= 0,

    Y₁= 10, y₂= 15

    y - y₁  =( (y₂-y₁ )/(x₂-x₁)) (x - x₁)

    y- 10 = ((15-10)/(0- -1)) ( x - -1)

    y -10 = ((5/1 ))( x+1)

    y -10 = (5) ( x+1)

    y-10  =  5x +5

    y = 5x +5 +10

    y =  5x +15

    the equation is y =  5x +15

    Read the  details about an example of slope and write the equation of the line in

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Find the equation of the line of the form y=mx+b that passes through the following pair of points 1....