Question

What is the slope of the line passing through the points (–1, 3) and (4, –7)?

A.


2

B.

3/4


C.

-4/3


D.

-2

Answer 1

D. -2

If you graph the points on a graph, you can see that in order to reach the next point, you go down two boxes, and over one box. This makes the slope -2 by using rise over run.

Answer 2

Hey!

Explanation:

Slope-intercept form: → $y=mx+b$

m: represents the slope and is constant.

b: represents the y-intercept.

Rise/run

$\frac{rise}{run}$

$m=\frac{y^2-y^1}{x^2-x^1}$

$m=\frac{(-7)-3=-10}{4-(-1)=4+1=5}$

Then, you divide by the numbers.

$(-10)/5=-2$

$\boxed{=-2}$

$\boxed{D.}$

Hope this helps!