Question

what is the gradient of the line shown below?

Explanation:

Step1: Select two points on the line

Let's assume two points \((x_1,y_1)\) and \((x_2,y_2)\) on the line. For simplicity, if the line passes through \((0,0)\) and \((1, - 1)\)

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 \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1 = 0,y_1=0,x_2 = 1,y_2=-1\) into the formula, we get \(m=\frac{-1 - 0}{1 - 0}\)

Step3: Calculate the value

\(m=\frac{-1}{1}=-1\)

Answer:

\(-1\)