*Why “m”? The world may never know.
—Samantha
Another helpful way to think of slope is “rise over run,” where rise means up
or down and run means across. Going from left to right (or from point B to point
A), we went up 7 and across 3. To continue this line segment, we would go up
another 7 and across another 3.
Lines that are parallel have the same slope, but different y-intercepts. This
allows the SAT to write horrifying problems like this:
Line p and line r are parallel. What is the y-intercept of line r?
You can determine y-intercepts by setting x equal to 0, while x-intercepts are found by setting y equal to 0.
—Samantha
With only one coordinate in line r, there isn’t a lot we can say about it.
Luckily, it is parallel to line p, which has two coordinates, and can thus be
converted to y = mx + b form. b is given to us, 3, because it hits the y-axis at y-
coordinate 3.
y = mx + 3
To find m, use the slope formula:
If line r has the same slope, then its formula is: