Answer:
The slope of a line is a measure of the steepness of the line. It is calculated as the rise (the change in the y-coordinate) divided by the run (the change in the x-coordinate).
To find the slope of a line given two points on that line, you can use the following formula:
slope = (y2 - y1) / (x2 - x1)
If we plug in the coordinates (-4,2) and (2,-5) into this formula, we get:
slope = (-5 - 2) / (2 - (-4))
Simplifying this fraction, we get:
slope = -7 / 6
Simplifying further, we get:
slope = -7/6
So the slope of the line through the points (-4,2) and (2,-5) is -7/6.
Explanation: