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

Hey!

Step-by-step explanation:

Slope-intercept form: →
`y=mx+b`

m: represents the slope and is constant.

b: represents the y-intercept.

Rise/run

`(rise)/(run)`

`m=(y^2-y^1)/(x^2-x^1)`

`m=((-7)-3=-10)/(4-(-1)=4+1=5)`

Then, you divide by the numbers.

`(-10)/5=-2`

`\boxed{=-2}`

`\boxed{D.}`

Hope this helps!

Answer 2

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.