Question

28

-2
11
0
-2
8
The points in the table lie on a line. Find the slope of the
line.

Answer 1

The slope is 3.

Explanation:

slope = rise/run = (y2-y1)/(x2-x1)

Pick any 2 points and plug them in to solve for the slope.

= (-8--5)/(-2--1)

= (-8+5)/(-2+1)

= (-3)/-1 = 3

The slope is 3.

I anticipate that the next question will be: what is the equation for the line?

The general equation is y=mx+b where m is the slope and b is the y intercept (where x=0).

We have the y intercept because we were given the point (0,-2).

So our equation is y=mx-2.

We just solved the slope above (so m=3), so our equation would be y=3x-2.