Question

In slope-intercept form, what is the equation of the line passing through the points (2,13)and (5,22)

Answer 1

y = 3x + 7

Explanation:

As we move from (2, 13) to (5, 22), x (the "run") increases by 3 and y (the "rise") increases by 9. Thus, the slope, m, must be m = rise / run = 9/3, or 3.

Then we have y = 3x + b and must find b. Subbing 2 for x and 13 for y, we get

13 = 3(2) + b, so that b must be 7.

The desired equation is y = 3x + 7.