A line that includes the points #(-3, 1)# and #(-6, w)# has a slope of #2#. What is the value of #w#?

1 Answer
Makan
Dec 23, 2016

#w=-5#

Explanation:

#1.# You draw your graph

#2.# Mark the graph for the point you are give #(-3, 1)#

#3.# Slope is always rise over run. So when you are given #2# for the slope, it means your rise (#y#) is #2# and your run (#x#) is #1#. What it translates to on a graph is that let's say we start with the point #(-3, 1)#, from there we go up #2# and right #1#. You keep repeating that process and you will get a bunch of points. connect the points and you will get a straight line. Keep in mind, you can also change the sign of the slope and go backward. What that means is that you can go DOWN #2# and LEFT #1#.

#4.# If you start at the point #(-3, 1)# and go down #2# and left #1# and keep on doing that, eventually you will get to #-6# on the #x#-axis and if you check the number on the #y#-axis you will see that you are at #-5#.

Hope it helped (c:

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