Question

Based on the table of values below, find the slope between points where x = 2 and where x = 6.

x | y
2 | 12
4 | 10
6 | 4



a.−3
b.−2
c.−1
d.−1/2

Answer 1

-2

Explanation:

Answer 2

When x = 2, y = 12, so we have the point (x,y) = (2,12)
When x = 6, y = 4, so we have the point (x,y) = (6,4)

Let's find the slope of th line through (2,12) and (6,4)

Let (x1,y1) = (2,12) and (x2,y2) = (6,4) be the two points
The slope m is going to be...
m = (y2 - y1)/(x2 - x1)
m = (4-12)/(6-2)
m = -8/4
m = -2

The slope is -2