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What is the equation of the line passes through (2,3) and (-2,1)?

1 Answer

Alyson A. · Hriman

Mar 8, 2018

#y=1/2x+2#

Explanation:

First, I would want to find the slope of the line. For this, you would do the change in y over the change in x
#(Y_2-Y_1) / (X_2-X_1)=#

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

#2 / 4 = 1/2#
.5 this means that the slope is .5 or 1/2

Then, you need to find the y intercept, by using point-slope form
#y-y_1=m(x-x_1)#
#y-3=1/2(x-2)#
#y-3=1/2x-1#
#y=1/2x+2#

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