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.