Question

Write an equation of the line passing through the point (9, 6) that is parallel to the

line y = -6x - 6.

Answer 1

⇒Parallel line have the same gradient if the gradient of the given equation is m=-6 it means that the gradient of the new equation is also m=-6

The general equation of a straight line is y=mx+c

⇒plug in the points and find the value of the unknown c

`6=-6(9)+c\\6=-54+c\\c=6+54\\c=60`

⇒This means that the new equation parallel to the given equation is⇒

`y=-6x+60`