Question

find the gradient of the interval ab. a(0,2) b(3,7) $\frac{5}{2}$ $\frac{3}{5}$ $\frac{7}{3}$ $\frac{5}{3}$

Explanation:

Step1: Recall gradient formula

The gradient $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Here, $A(0,2)$ means $x_1 = 0,y_1=2$ and $B(3,7)$ means $x_2 = 3,y_2 = 7$.

Step3: Substitute values into formula

$m=\frac{7 - 2}{3 - 0}=\frac{5}{3}$.

Answer:

$\frac{5}{3}$