Question

Find the slope of the line passing through the points (-3, -8) and (4,6).

Answer 1

The formula for the slope m of the line that passes through two points
`(x_1, y_1)` and
`(x_2, y_2)` is the following:

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

We have points (4,6) and (-3,-8). Let's plug these values into the formula for slope:

`m=(6-(-8))/(4-(-3))`

`=(14)/(7)=2`

The slope of the line passing through the two points is 2. Let me know if you need any clarifications, thanks!

Answer 2

slope = 2

Explanation:

The formula of a slope:

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

We have

`(-3;\ -8)\to x_1=-3;\ y_1=-8\\(4;\ 6)\to x_2=4;\ y_2=6`

Substitute:

`m=(6-(-8))/(4-(-3))=(6+8)/(4+3)=(14)/(7)=2`