What is the slope of the line passing through the following points: #(2,7) , (-4, -2)#?

1 Answer
Demirari
Jul 6, 2017

Slope = #3/2#

Explanation:

In order to solve this, you will need to know the idea of rise over run. In the case of two points, you will use #(y_2 - y_1)/(x_2 - x_1)# to find the slope.

This basically means that you will minus the y of one point with another. The same holds true for x.

In this case, let's say that #(-4, -2)# will be our #x_2# and #y_2# respectively. This will mean that #(2, 7)# will be our #x_1# and #y_1#.

So plugging in these values, we will get: #(-2 - 7)/(-4 - 2)#. This will equal #(-9)/-6#. The negatives will cancel out, so it'll be #9/6#, which can be simplified to #3/2#.

And viola! Our slope is #3/2#

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