write an equation in slope-intercept form of the line that contains the point (-4,5) and is parallel to the line y=8x-2

Question

writing an equation that is parallel to the given point

Answer 1

parallel means the slope have to be the same.

 

So the slope M=8

 

Equation of the line:  y = Mx +B

 

   B = y - Mx  = 5 - 8*(-4)  = 5 - (-32) = 37

 

 So the line equation of the line parallel to y=8X-2 that passes through (-4,5) is:

 

     y = 8x+37