Question

Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a. Show your work

Answer 1

Possible answer:

y = 2x + 60

Explanation:

First, we will have to find the slope for the line that passes through those points, because parallel lines have the same slope but different y-intercepts. We only need the slope.

Let's use the formula for finding the slope from two points:
`(y_(2)-y_(1))/(x_(2)-x_(1))`. My work is shown below:

`(9-1)/(2-(-2)) \\(8)/(4) \\2`

The slope is 2, so this will be the slope for our parallel line. Parallel lines can have any y-intercepts, so let's just pick a random one - 60 (yours doesn't have to be this, I just picked one at random). So, one example of an answer to this question would be y = 2x + 60.