Question

what is the slope of the line that passes through the points (-5, 10) and (10, 4)?
$-\frac{5}{2}$ $-\frac{2}{5}$ $\frac{2}{5}$ $\frac{5}{2}$
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Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign point values

Let $(x_1,y_1)=(-5,10)$ and $(x_2,y_2)=(10,4)$

Step3: Substitute into formula

$m=\frac{4-10}{10-(-5)}=\frac{-6}{15}$

Step4: Simplify the fraction

$m=-\frac{2}{5}$

Answer:

$-\frac{2}{5}$ (corresponding to the second option)