What is slope of the line that passes through the point ( -6,8) and (-16,33)? Write the answer in the simplest form.
1 answer:
Answer:
![- \frac{5}{2}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B5%7D%7B2%7D%20)
Step-by-step explanation:
![\boxed{gradient = \frac{y1 - y2}{x1 - x2} }](https://tex.z-dn.net/?f=%5Cboxed%7Bgradient%20%3D%20%20%5Cfrac%7By1%20-%20y2%7D%7Bx1%20-%20x2%7D%20%7D)
Using the above formula,
slope of line
![= \frac{33 - 8}{ - 16 - ( - 6)} \\ = \frac{25}{ - 16 + 6} \\ = \frac{25}{ - 10} \\ = - \frac{5}{2}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B33%20-%208%7D%7B%20-%2016%20-%20%28%20-%206%29%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B25%7D%7B%20-%2016%20%2B%206%7D%20%20%5C%5C%20%20%3D%20%5Cfrac%7B25%7D%7B%20-%2010%7D%20%20%5C%5C%20%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B2%7D%20)
*Since the slope a line is the coefficient of x in the slope-intercept form, it is usually left as an improper fraction if it is not a whole number.
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