How do you find the slope of (-3,1), (3,-5)?

1 Answer
May 17, 2018

See a solution process below:

Explanation:

The formula for find the slope of a line is:

#m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))#

Where #(color(blue)(x_1), color(blue)(y_1))# and #(color(red)(x_2), color(red)(y_2))# are two points on the line.

Substituting the values from the points in the problem gives:

#m = (color(red)(-5) - color(blue)(1))/(color(red)(3) - color(blue)(-3)) = (color(red)(-5) - color(blue)(1))/(color(red)(3) + color(blue)(3)) = (-6)/6 = -1#