Question

what is the gradient of the straight line shown below?

Explanation:

Step1: Select two points on the line

Let's take two points \((x_1,y_1)\) and \((x_2,y_2)\) on the line. From the graph, we can choose \((0, - 1)\) and \((6,0)\)

Step2: Apply the slope - formula

The formula for the gradient (slope) \(m\) of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\)
Substitute \(x_1 = 0,y_1=-1,x_2 = 6,y_2 = 0\) into the formula:
\(m=\frac{0-(-1)}{6 - 0}=\frac{0 + 1}{6}=\frac{1}{6}\)

Answer:

\(\frac{1}{6}\)