Question

What is the slope of the line passing through the points (−6, 6) and (6, 2)?
PLEASE HELP!!!

Answer 1

To find the slope of the line passing through the points (-6, 6) and (6, 2), we can use the formula:

slope = (change in y)/(change in x)

Let's calculate it step by step:

change in y = 2 - 6 = -4
change in x = 6 - (-6) = 12

slope = (-4)/(12) = -1/3

So, the slope of the line is -1/3.

Answer 2

`\sf m = -(1)/(3)`

Explanation:

The slope of the line passing through the points (-6, 6) and (6, 2) is given by the following formula:

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

where
`(x_1, y_1)` and
`(x_2, y_2)` are the coordinates of the two points, respectively.

Substituting the given values into the formula, we get:

`\sf m = (2 - 6)/(6 - (-6)) \\\\ = -(4)/(12)\\\\ = -(1)/(3)`

Therefore, the slope of the line passing through the points (-6, 6) and (6, 2) is:
`\sf m = -(1)/(3)`