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

1 Answer
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