Answer:
-8/5
Step-by-step explanation:
To find the slope of the line that passes through the points (-4,4) and (1,-4), you use the formula for slope:
m = (y_2 - y_1)/(x_2 - x_1)
Here, let (-4, 4) be (x_1, y_1) and (1, -4) be (x_2, y_2). Plugging in the values:
m = {-4 - 4}/{1 - (-4)} = -8/5
OR, slope = rise/run and the rise is the vertical distance from the two point which is 8. The line is going downwards so the slope is negative. The run is the horizontal distance so its 5 from the two points.
So, the slope of the line through these points is -8/5.