Question

find the gradient of the interval ab.
a(1,2)
b(4,6)
○ $\frac{3}{4}$ ○ -$\frac{4}{3}$
○ $\frac{4}{3}$ ○ $\frac{5}{3}$

Explanation:

Step1: Recall gradient formula

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

Step2: Identify the coordinates

Here, $A(1,2)$ means $x_1 = 1,y_1=2$ and $B(4,6)$ means $x_2 = 4,y_2 = 6$.

Step3: Substitute values into formula

$m=\frac{6 - 2}{4 - 1}=\frac{4}{3}$.

Answer:

$\frac{4}{3}$