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

1 Answer
Apr 1, 2017

The slope of the two points, #(1,3)# and #(-3,5)#, is #-1/2#, which can be found by using the slope equation (see explanation).

Explanation:

Slope is the change in #y# divided by change in #x#, or "rise over run".
Slope = #(y_2-y_1)/(x_2-x_1)#

Using these two points, #(1,3)# and #(-3,5)#:
#x_1=1#
#y_1=3#

#x_2=-3#
#y_2=5#

Plug into the slope equation:
Slope = #(5-3)/(-3-1)=2/-4=-1/2#