Question

what is the gradient of the line shown below?

Explanation:

Step1: Select two points on the line

Let's take the points (-2, 1) and (2, -1).

Step2: Use the gradient formula

The gradient formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-2,y_1 = 1,x_2=2,y_2=-1$. Then $m=\frac{-1 - 1}{2-(-2)}=\frac{-2}{4}=-\frac{1}{2}$.

Answer:

$-\frac{1}{2}$