find the slope if it exists (2,5)(4,-5)
The slope, or gradient, of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Using the given points (2,5) and (4,-5), we can substitute the values into the formula:
m = (-5 - 5) / (4 - 2)
Simplifying this expression, we get:
m = -10 / 2
m = -5
Therefore, the slope of the line passing through the points (2,5) and (4,-5) is -5.