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:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Slope between (0, 0) and (1, 3)
[tex]m = \frac{3-0}{1-0}\\\\m = 3[/tex]
Thus slope between (0, 0) and (1, 3) is 3
Slope between (1, 3) and (2, 12)
[tex]m = \frac{12-3}{2-1}\\\\m = \frac{9}{1}\\\\m = 9[/tex]
Thus slope between (1, 3) and (2, 12) is 9
Slope between (0, 1) and (1, 4)
[tex]m = \frac{4-1}{1-0}\\\\m = 3[/tex]
Thus slope between (0, 1) and (1, 4) is 3
Slope between (1, 4) and (2, 16)
[tex]m = \frac{16-4}{2-1}\\\\m = 12[/tex]
Thus slope between (1, 4) and (2, 16) is 12
