How do you find another point on each line using slope and point given m=3; passes through (-2,4)?

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Answer 1 · 2017-09-29T00:28:34

See below.

In order to solve this problem, we will consider the definition of slope. Slope is defined as:

#"Slope"=("change in "y)/("change in "x) = ("rise")/("run")#

Therefore, if we are given a slope of #3#, we can assume that it means a change in #y# of #3# for every change in #x# of #1#.

So, if we want to find another point on the line that #(2,-4)# makes with a slope of #3#, then we can simply add #1# to the #x#, and #3# to the #y#:

#(2,-4)#

#(2 + 1, -4 + 3)#

#(3, -1)#

I hope that helps!