Question

Find the equation of the line that is parallel to the line y = 2x - 5 and passes through the point (-1,3).

Answer 1

y=2x+5

Explanation:

If you graph it you can figure out the starting point of the parallel line.

The rate of change is 2 and since the point the parallel line needs to pass through is (-1,3) you need to shift the starting point (y-intercept) up by 10 units.

Shifting the y-intercept of y=2x-5 up by 10 makes the new line y=2x+5.