The slope of the line that passes through (2, -4) and (-6, 2) is:
-4/3
3/2
1/4
-3/4
Remember, the slope is change in y divided by change in x,
so, a slope of 3/2 for example, means that the line goes "up 3 and over 2"
To find the slope of the line that passes through two points, we can use the formula:
slope = (change in y) / (change in x)
In this case, the two given points are (2, -4) and (-6, 2).
The change in y is equal to the difference between the y-coordinates of the two points: 2 - (-4) = 6.
The change in x is equal to the difference between the x-coordinates of the two points: -6 - 2 = -8.
Now, we can calculate the slope:
slope = (change in y) / (change in x) = 6 / -8 = -3/4
Therefore, the slope of the line that passes through the points (2, -4) and (-6, 2) is -3/4.