How do you calculate the slope of (0,5) and (5,0)?

1 Answer
Jul 19, 2015

Use the equation for slope to find slope #m = -1#

Explanation:

If a line passes through points #(x_1, y_1)# and #(x_2, y_2)# then its slope #m# is given by the formula:

#m = (Delta y) / (Delta x) = (y_2 - y_1) / (x_2 - x_1)#

In our case, let #(x_1, y_1) = (0, 5)# and #(x_2, y_2) = (5, 0)#.

Then:

#m = (y_2 - y_1) / (x_2 - x_1) = (0 - 5) / (5 - 0) = (-5)/5 = -1#