kittykatbear89
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Ok theres two questions I need the equation and answer. Please help!!


1. Write an equation of the line in slope intercept form that has a slope -2/3 and has a y-intercept of -4



2. Write and equation of a line in slope intercept form that passes through the points (3 , -2) and (1 , 4)

Respuesta :

Slope Intercept: Y=mx + b

1. Y= -2/3x + -4

2. Y= 1/3x + 7

Answer:

1)   y = -2/3x - 4

2)  y = -3x + 7

Step-by-step explanation:

1)  Plug in the slope (m) and y intercept (b) into the equation

     y = mx + b

     y = -2/3x - 4

2)  Find  the slope (m)  m = y₂ - y₁/ x₂ - x₁

                                      m =  4 - (-2)/1 - 3

                                      m =  6/-2

                                     m = -3

   Then find the y intercept (b) by plugging x, y and m into y = mx + b (you can choose either point given

4 = -3 ( 1) + b

4 = -3 + b

Add 3 to both sides

7 = b

So now you know  m = -3 and b = 7  

Plug into y = mx + b

                y = -3x + 7

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