Question

The data in the table are linear. Use the table to find the slope.

2
4
6
8
1
-2.
-5
-8
a.
b.
3
2
3
2
او را
d. 2
3​

Answer 1

Is -3/2.

Explanation:

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Answer 2

`m = -(3)/(2)`

Explanation:

Given

x 2 4 6 8

y 1 -2 -5 -8

Required

Determine the slope

First, pick any two corresponding x and y values.

`(x_1,y_1) =(2,1)`

`(x_2,y_2) =(8,-8)\\`

The slope (m) is then calculated using:

`m = (y_1 - y_2)/(x_1 - x_2)`

Substitute in, the x and y values

`m = (1 - (-8))/(2- 8)`

`m = (1 +8)/(-6)`

`m = (9)/(-6)`

`m = -(9)/(6)`

Divide numerator and denominator by 3

`m = -(9/3)/(6/3)`

`m = -(3)/(2)`

Hence, the slope is -3/2