Question

write the equation of a line parallel to y=3x-12

Answer 1

Parallel lines have the same slope.

The slope-intercept form of the equation fo a line is:

\(y = mx + b\)

where m = slope and b = y-intercept.

Your line is already written in the slope-intercept form.

The slope of your line is 3, and the y-intercept is -12.

A parallel line has the same slope and a different y-intercept.
To write the equation of a parallel line, just write an equation in the same form in which you keep the same slope and come up with a different y-intercept.