Question

Gradient of line AB (3,7) and (5,11)​

Answer 1

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 = (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 = (11 - 7)/(5 - 3) } \\ \large{m = (4)/(2) \longrightarrow \boxed{m = 2}}`

Hence, the gradient of AB is 2.

Answer

• gradient is 2