Question

what is the gradient of the line shown below?

Explanation:

Step1: Select two points on the line

Let's take two points \((- 5,2)\) and \((0,-1)\) from the graph.

Step2: Use the slope - formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, \(x_1=-5,y_1 = 2,x_2 = 0,y_2=-1\). Then \(m=\frac{-1 - 2}{0-(-5)}=\frac{-3}{5}=-\frac{3}{5}\).

Answer:

\(-\frac{3}{5}\)