Question

Please tell me how to find the Slope of lines, (or do one for me) [I’ll try to help you back]

Answer 1

The slope of a line often referred to as the (
`(rise)/(run)`) is the rate of change in a line. It can be found using the following formula.

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

Where (
`x_1,y_1`) and (
`x_2,y_2`) are points on the line. For each problem, substitute the points on the line into the formula and solve for the slope.

1.
`(1)/(2)`

(0, 2), (-2, 1)

`=(1-2)/(-2-0)\\\\=(-1)/(-2)\\\\=(1)/(2)`

2. 2

(-2, -1), (0, 3)

`=(3-(-1))/(0-(-2))\\\\=(3+1)/(0+2)\\\\=(4)/(2)\\\\=2`

3. 4

(1, 0), (2, 4)

`=(4-0)/(2-1)\\\\=(4)/(1)\\\\=4`

4. 1

(6, 2), (2, -2)

`=(-2-2)/(2-6)\\\\=(-4)/(-4)\\\\=1`

5.
`(3)/(5)`

(-1, 1), (4, 4)

`=(4-1)/(4-(-1))\\\\=(3)/(4+1)\\\\=(3)/(5)`

6.
`(1)/(3)`

(-7, 4), (2, 1)

`=(4 -1)/(2-(-7))\\\\=(3)/(2+7)\\\\=(3)/(9)\\\\=(1)/(3)`

7. 0

(5, -3), (-2, -3)

`=(-3-(-3))/(-2-5)\\\\=(-3+3)/(-7)\\\\=0`

8.
`(7)/(5)`

(-3, 2), (2, 7)

`=(7-2)/(2 - (-3))\\\\=(7)/(2+3)\\\\=(7)/(5)`

9. 8

(2, 16), (3, 24)

`=(24-16)/(3-2)\\\\=(8)/(1)\\\\=8`