Question

For each equation find the slope between the given points.

Answer 1

slope between (0, 0) and (1, 3) is 3

slope between (1, 3) and (2, 12) is 9

slope between (0, 1) and (1, 4) is 3

slope between (1, 4) and (2, 16) is 12

Solution:

The slope between two points is given as:

`m = (y_2-y_1)/(x_2-x_1)`

Slope between (0, 0) and (1, 3)

`m = (3-0)/(1-0)\\\\m = 3`

Thus slope between (0, 0) and (1, 3) is 3

Slope between (1, 3) and (2, 12)

`m = (12-3)/(2-1)\\\\m = (9)/(1)\\\\m = 9`

Thus slope between (1, 3) and (2, 12) is 9

Slope between (0, 1) and (1, 4)

`m = (4-1)/(1-0)\\\\m = 3`

Thus slope between (0, 1) and (1, 4) is 3

Slope between (1, 4) and (2, 16)

`m = (16-4)/(2-1)\\\\m = 12`

Thus slope between (1, 4) and (2, 16) is 12