What is the rate of change of `y` with respect to `x` for this line?
Graph passes through points (-3,5) and (9,-5)
To find the rate of change of `y` with respect to `x` or the slope of the line passing through the points (-3,5) and (9,-5), we can use the formula for slope:
slope = (change in y) / (change in x)
Substitute the coordinates of the points into the formula:
slope = (-5 - 5) / (9 - (-3))
slope = (-10) / (12)
slope = -5/6
Therefore, the rate of change of `y` with respect to `x`, or the slope of the line passing through the points (-3,5) and (9,-5), is -5/6.