Question

Find the slope between the given two points​

Answer 1

Slope can be found using the following equation:

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

7) Let:

`(x_1 , y_1) = (-1 , -11)\\(x_2 , y_2) = (-6 , -7)`

Plug in the corresponding numbers to the corresponding variables:

m =
`(-7 - (-11))/(-6 - (-1)) = (-7 + 11)/(-6 + 1) = (4)/(-5) = -(4)/(5)`

Slope:
`-(4)/(5)`

8) Let:

`(x_1 , y_1) = (-7 , -13)\\(x_2 , y_2) = (1 , -5)`

Plug in the corresponding numbers to the corresponding variables:

m =
`(-5 - (-13))/(1 - (-7)) = (-5 + 13)/(1 + 7) = (8)/(8) = 1`

Slope:
`1`

9) Let:

`(x_1 , y_1) = (-5 , 3)\\(x_2 , y_2) = (8 , 3)`

Plug in the corresponding numbers to the corresponding variables:

m =
`(3 - (3))/(8 - (-5)) = (0)/(8 + 5) = (0)/(13) = 0`

Slope:
`0`

10) Let:

`(x_1 , y_1) = (3 , -2)\\(x_2 , y_2) = (15 , 7)`

Plug in the corresponding numbers to the corresponding variables:

m =
`(7 - (-2))/(15 - 3) = (7 + 2)/(15 - 3) = (9)/(12)`

Simplify the slope. Divide common factors from both the numerator and denominator:

`((9)/(12))/((3)/(3) ) = (3)/(4)`

Slope:
`(3)/(4)`

11) Let:

`(x_1 , y_1) = (-5 , -10)\\(x_2 , y_2) = (-5 , -1)`

Plug in the corresponding numbers to the corresponding variables:

m =
`(-1 - (-10))/(-5 - (-5)) = (-1 + 10)/(-5 + 5) = (9)/(0) =` undefined.

Slope: undefined

12) Let:

`(x_1 , y_1) = (-4 , -2)\\(x_2 , y_2) = (-12, 16)`

Plug in the corresponding numbers to the corresponding variables:

m =
`(16 - (-2))/(-12 - (-4)) = (16 + 2)/(-12 + 4) = (18)/(-8) = -(18)/(8) = ((-(18)/(8))/( (2)/(2)) = -(9)/(4)`

Slope:
`-(9)/(4)`

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