What is the slope-intercept form of the line passing through #(6, 1) # and # (4, 5) #?

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Answer 1 · 2018-03-21T19:46:41

#y=-2x+13#

Slope-intercept form: y=mx+b, where m is the slope and b is the y-intercept

Finding the slope using 2 points:

#(y_2-y_1)/(x_2-x_1) rarr# Divide the difference of the y coordinates by the difference of the x coordinates

#(5-1)/(4-6)#

#4/-2#

#-2 rarr# This is the slope.

Our equation is currently #y=-2x+b#

To find b, let's plug in one of the coordinates.

#1=-2*6+b#

#1=-12+b#

#b=13#

Our equation is: #y=-2x+13#