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

Jul 6, 2017

Slope = $\frac{3}{2}$

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 $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$ 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 $\left(- 4 , - 2\right)$ will be our ${x}_{2}$ and ${y}_{2}$ respectively. This will mean that $\left(2 , 7\right)$ will be our ${x}_{1}$ and ${y}_{1}$.

So plugging in these values, we will get: $\frac{- 2 - 7}{- 4 - 2}$. This will equal $\frac{- 9}{-} 6$. The negatives will cancel out, so it'll be $\frac{9}{6}$, which can be simplified to $\frac{3}{2}$.

And viola! Our slope is $\frac{3}{2}$