Question

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

Answer 1

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`