Question

What is the slope of the line throught (-9, 6) and (-3, 9)?

Answer 1

The slope is 1/2

Explanation:

To find slope, use the formula y2-y1/x2-x1

Plug the points in and solve.

9-6/(-3)-(-9)

3/-3+9

3/6

1/2

Answer 2

`m=(1)/(2)`

Explanation:

Formula:

`\boxed{(y_2-y_1)/(x_2-x_1)}`

Assign the points as
`x_1`,
`x_2`, and,
`y_1`,
`y_2`

`(-9 = x_1, 6=y_1) \:\:\:\:(-3=x_2, 9=y_2)`

Plug these points into the formula; solve

`(y_2-y_1)/(x_2-x_1)\\\\=(9-6)/(-3-(-9))\\=(1)/(2)`

`\bold{m=(1)/(2)}`

Therefore,
`(1)/(2)` is the slope of the line through
`(-9, 6)` and
`(-3, 9)`.