# What is the slope of the line passing through the following points:  (4,7) , (-6,1)?

Jun 25, 2017

$\frac{3}{5}$

#### Explanation:

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

$\left(7 - 1\right) = m \left(4 - \left(- 6\right)\right)$ $y$ is the y-coordinate of the point on the right. ${y}_{1}$ is the y-coordinate of the point on the left. $x$ is the x-coordinate of the point on the right. ${x}_{1}$ is the x-coordinate of the point on the left.

$m = \frac{7 - 1}{4 + 6}$ m is the gradient, and is the change in y over the change in x.

Therefore, $m = \frac{6}{10}$, dividing top and bottom by 2 gives a simpler fraction: $\frac{3}{5}$