Question

Answer the question. To determine the answer.

Answer 1

`m = (8)/(9)`

Explanation:

Given:

`((6)/(2), (2)/(3))` and
`(2(1)/(2), -(2)/(3))`

Required:

Slope

SOLUTION:

Formula for slope is given as
`m = (y_2 - y_1)/(x_2 - x_1)`

Let,

`((6)/(2), (2)/(3)) = (x_1, y_1)`

`(2(1)/(2), -(2)/(3)) = (x_2, y_2)`

`m = (-(2)/(3) - (2)/(3))/((3)/(2) - (6)/(2))`

`m = ((-2 - 2)/(3))/((3 - 6)/(2))`

`m = ((-4)/(3))/((-3)/(2))`

`m = ((-4)/(3))/((2)/(-3))`

`m = (-4(2))/(3(-3))`

`m = (-8)/(-9)`

`m = (8)/(9)`