# The slope of the line that passes through (2, -4) and (-6, 2) is:

-4/3

3/2

1/4

-3/4

-4/3

slope = y/x

distance of y is -4 to 2 = 6

distance of x is 2 to -6 = -8

(y/x) = -6/8 = -3/4

## To find the slope of a line, you can use the formula:

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

Let's calculate the change in y and change in x between the two points given:

Change in y: From -4 to 2, the difference is 2 - (-4) = 6

Change in x: From 2 to -6, the difference is -6 - 2 = -8

Now, we can substitute these values into the slope formula:

slope = (change in y) / (change in x) = 6 / (-8)

Simplifying this fraction, we get:

slope = -3/4

Therefore, the slope of the line that passes through the points (2, -4) and (-6, 2) is -3/4.