How do you find the slope given (2,3) and (0,2)?

1 Answer
Apr 16, 2016

#1/2#

Explanation:

Use the formula for finding the slope:
#(y_2 - y_1)/(x_2 - x_1)#
using the coordinates of (2,3) and (0,2). It doesn't really matter what coordinates you assign for it to be #y_2# or #x_2#, for example, but it does matter that when you assign 2 in the coordinate (2,3) to be #x_1#, then the y-coordinate (3) needs to be assigned as #y_1#.

(2,3) where 2 will be #x_1# and 3 will be #y_1#
(0,2) where 0 will be #x_2# and 2 will be #y_2#

Substitute the values into the formula:
#(2 -3)/(0-2)#

Solve
#(2 -3)/(0-2) = (-1)/(-2) = 1/2#

Slope is #1/2# graph{y = 1/2x + 2 [-10, 10, -5, 5]}