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
<em><u>Solution:</u></em>
<em><u>The slope between two points is given as:</u></em>
![m = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
<h3><u>Slope between (0, 0) and (1, 3)</u></h3>
![m = \frac{3-0}{1-0}\\\\m = 3](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B3-0%7D%7B1-0%7D%5C%5C%5C%5Cm%20%3D%203)
Thus slope between (0, 0) and (1, 3) is 3
<h3><u>Slope between (1, 3) and (2, 12)</u></h3>
![m = \frac{12-3}{2-1}\\\\m = \frac{9}{1}\\\\m = 9](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B12-3%7D%7B2-1%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B9%7D%7B1%7D%5C%5C%5C%5Cm%20%3D%209)
Thus slope between (1, 3) and (2, 12) is 9
<h3><u>Slope between (0, 1) and (1, 4)</u></h3>
![m = \frac{4-1}{1-0}\\\\m = 3](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B4-1%7D%7B1-0%7D%5C%5C%5C%5Cm%20%3D%203)
Thus slope between (0, 1) and (1, 4) is 3
<h3><u>Slope between (1, 4) and (2, 16)</u></h3>
![m = \frac{16-4}{2-1}\\\\m = 12](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B16-4%7D%7B2-1%7D%5C%5C%5C%5Cm%20%3D%2012)
Thus slope between (1, 4) and (2, 16) is 12