i need help for my math homework

Question

Write an equation of a line that contains the point (2,3) and is parallel to the line y=6x + 2. Your answer must be in slope intercept form.

Answer 1

Parallel lines have the same slope, which for y = 6x+2, is M=6.

 

M=6

(2,3) ---> x=2 and y=3

 

B  = y - Mx = 3 - (6)(2) = 3 - 12 = -9

 

The parallel line has equation y = 6x + -9 = 6x - 9