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:

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

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

$m = \frac{3-0}{1-0}\\\\m = 3$

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

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

$m = \frac{12-3}{2-1}\\\\m = \frac{9}{1}\\\\m = 9$

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

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

$m = \frac{4-1}{1-0}\\\\m = 3$

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

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

$m = \frac{16-4}{2-1}\\\\m = 12$

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