Find the equation

Question

I need help with this please. It says finds the equation of a line that passes through (3,-7) and is parallel to

y =-5x+2.

Answer 1

Melanie,

 

Slope is m = (y2 - y1) /  (x2 - x1)

 

 y = mx + b is a way to write equation of a line

 

y = 5x  + 2 has slope  m =5

 

any equation parallel to this must have slope of m = 5

 

y - y1 = m (x - x1) will also give an equation of line

 

so from the point given (3, 7)  x 1= 3, and y1 =7

 

y -7 = m (x -3)  remember m = 5

 

y -7 = 5 (x -3)  then  y - 7 = 5x - 15

 

y = 5x  - 15 + 7

 

y = 5x - 8  is your equation 

 

God bless.