Question

gradient of line AB (3,7) and (5,11)​

Answer 1

Answer:

Gradient is change in y over change in x.

gradient = y1-y2 ÷ x1-x2

=7-11 ÷ 3-5

=-4 ÷ -2

=2

Answer 2

Use the slope/gradient formula below:

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

This formula is for when we want to find the gradient when we have two given points. (We also call it Rise Over Run or changes of y over the changes of x.)

We are given two points which are (3,7) and (5,11). Substitute these points in the equation. (the ordered pairs are in (x,y) and not (y,x))

$\large{m = \frac{11 - 7}{5 - 3} } \\ \large{m = \frac{4}{2} \longrightarrow \boxed{m = 2}}$

Hence, the gradient of AB is 2.

Answer

• gradient is 2