What is the slope-intercept form of the line passing through #(2, 2) # and # (-4, 1) #?

1 Answer

Answer:

#y=1/6x+1 2/3#

Explanation:

Slope-intercept form: #y=mx+b#, where m represents sleep and b represents the y-intercept

First let's find the slope through two points:

#(y_2-y_1)/(x_2-x_1) rarr# Plug the points in

#(1-2)/(-4-2)#

#(-1)/(-6)#

Slope is #1/6#

Our current equation is #y=1/6x+b#. To find b, let's plug in one of the points (I'll use #(2, 2)#).

#2=1/6*2+b#

#2=1/3+b#

#b=1 2/3#

Our equation is #color(red)(y=1/6x+1 2/3#