Question

Write an equation of a line whose graph is parallel to the graph of y=3x-10

Answer 1

y = 3x + d, where d can take on any real value.

Explanation:

The given equation is y = 3x - 10. If the new line is to be parallel to this one, then the new line must have the same slope: m = 3.

Then the general form of this new line would be y = 3x + d, where d can have any real value.

Answer 2

y = 3x

Explanation:

Parallel lines have the same slope but different y-intercepts.

Your function has y-intercept b = -10.

Choose any different value for b. How about b = 0?

Then, the equation for the parallel line is

y = 3x

In the diagram below, the red line is the graph of y = 3x – 10.

The parallel blue line is the graph of y = 3x.