What is the slope-intercept form of the line passing through # (0, 6) # and # (3, -2) #?

1 Answer
Michelle B.
Sep 29, 2016

#y=-8/3+6#

Explanation:

Using the slope formula: #(y2 - y1)/(x2 - x1)#
You should choose the first coordinate point to be #(x1, y1)# and the other to be #(x2, y2)#
So #(-2 - 6)/(3 - 0)# will give you the slope #m#
Now you need to put the slope and one of the given points into slope-intercept form.
if #m=-8/3# you can solve for #b# in #y=mx+b#
Inserting the point #(0, 6)# we get
#6=-8/3(0)+b#
So, #b=6#
You can check this using the other point and plug in #b#.
#-2=-8/3(3)+6?#
Yes, because this equation is true, #b=6# must be the correct y-intercept.
Therefore, our equation is #y=-8/3+6#

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