Question

What is the slope of the line that contains points 8,4 and -4,8

Answer 1

The slope of a line can be determined using the formula: slope = (change in y-coordinates)/(change in x-coordinates)

To find the slope of the line that contains the points (8,4) and (-4,8), we need to calculate the change in y-coordinates and the change in x-coordinates.
The change in y-coordinates is given by:

change in y-coordinates = y2 - y1 = 8 - 4 = 4

The change in x-coordinates is given by:
change in x-coordinates = x2 - x1 = -4 - 8 = -12

Now we can calculate the slope using the formula: slope = (change in y-coordinates)/(change in x-coordinates) = 4/(-12) = -1/3

Therefore, the slope of the line that contains the points (8,4) and (-4,8) is -1/3.

Answer 2

m = -1/3

Explanation:

The question is asking us to find the slope of the line. For that, I'll use the formula:

`\sf{m=(y_2-y_1)/(x_2-x_1)}`

Plug in the data:

`\sf{m=(8-4)/(-4-8)}`

Simplify:

`\sf{m=(4)/(-12)}`

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

Therefore, m = -1/3.