Question

A line is parallel to y = 3x - 12 and

intersects the point (1, -2). What is the
equation of this parallel line?
​

Answer 1

y=3x-5

Explanation:

parallel means that both lines share the same gradient.

from the equation y=3x-12 , we can deduce that the gradient is 3 because it is in the gradient-intercept form

now substitute values into formula

y-y1=m (x-x1)

y--2=3 (x-1)

expand brackets and simplify

y+2=3x-3

subtract 2 from both sides of equation

y=3x-5