Question

Find the slope of the line passing through the points $(-1,1)$ and $(2,2)$

Answer 1

Since slope of line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

We now find the slope of the line passing through the points $(-1,1)$ and $(2,2)$ as shown below:

$m=\frac{2-1}{2-(-1)}=\frac{1}{2+1}=\frac{1}{3}$

Therefore, the slope of the line is 1/3.