Question

8. Find the slope of the line that contains the

following points:
b. (6, -2) and (-3, 1).

Answer 1

slope =
`-(1)/(3)`

Explanation:

1) Find the slope with the slope formula,
`m = (y_2-y_1)/(x_2-x_1)` (in which
`m` represents the slope). The
`x_1` and
`y_1` represent the x and y values of one point, and the
`x_2` and
`y_2` represent the x and y values of another point. Thus, substitute the x and y values of the given points (6, -2) and (-3, 1) into the appropriate places in the formula and solve:

`m = ((1)-(-2))/((-3)-(6)) \\m = (1+2)/(-3-6) \\m = (3)/(-9) \\m = -(1)/(3 )`

Thus, the slope is
`-(1)/(3)`.