To find the equation of the line passing through the points (-2,5), (0,0), and (4,-10), we can use the point-slope form of a linear equation. Let's choose two points and calculate the slope:
Slope = (change in y) / (change in x)
Using the points (-2,5) and (0,0):
Slope = (0 - 5) / (0 - (-2)) = -5 / 2 = -2.5
Now, let's use the point-slope form with the point (0,0):
y - y1 = m(x - x1)
y - 0 = -2.5(x - 0)
y = -2.5x
So, the equation of the line passing through those points is y = -2.5x.