Question

What is the slope of the line that passes through the pair of points (1/3, -1) and ( -2, 9/2)​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

$\boxed{m = - \frac{33}{14} }$

.

Step-by-step explanation:

Use the form below

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

Where

• $m$ is a slope
• $(x_1,~y_1)$ and $(x_2,~y_2)$ are the point of the line

.

So, the slope is

$(\frac{1}{3} ,~ -1) \to x_1 = \frac{1}{3} ~and~y_1 = -1$

$(-2,~ \frac{9}{2} ) \to x_2 = -2~and~y_2 = \frac{9}{2}$

.

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

$m = \frac{\frac{11}{2} }{\frac{-7}{3} }$

$m = \frac{11}{2} \div (-\frac{7}{3} )$

$m = \frac{11}{2} \times (-\frac{3}{7} )$

$m = - \frac{33}{14}$

.

Happy to help:)