Question

Find the slope that passes through the points that pass through 2,13 and 4,5

Answer 1

The slope is:

m = -4

Work/explanation:

To calculate the slope, we're going to use the slope formula, which is:

`\sf{m=(y_2-y_1)/(x_2-x_1)}`

where m = slope. Plug in the data from the problem

`\sf{m=(5-13)/(4-2)}`

Simplify

`\sf{m=(-8)/(2)}`

`\sf{m=-(8)/(2)}`

`\sf{m=-4}`

Hence, the slope is m = -4.

Answer 2

To find the slope of the line that passes through the points (2,13) and (4,5) we can use our slope formula.

m =
`(y2 - y1)/(x2 - x1)`

`(5 - 13)/(4 - 2)`

5 - 13 = -8

4 - 2 = 2

Therefore, the slope of this line is
`(-8)/(2)`

`(-8)/(2)` can be simplified to -4.