QuestionAugust 24, 2025

Find the slope of the line that passes through these two points. Write your answer in simplest form. (-2,7) (2,-5)

Find the slope of the line that passes through these two points. Write your answer in simplest form. (-2,7) (2,-5)
Find the slope of the line that
passes through these two points.
Write your answer in
simplest form.
(-2,7)
(2,-5)

Solution
4.3(253 votes)

Answer

-3 Explanation 1. Calculate the slope Use the formula for slope: m = \frac{y_2 - y_1}{x_2 - x_1}. Substitute (x_1, y_1) = (-2, 7) and (x_2, y_2) = (2, -5) into the formula: m = \frac{-5 - 7}{2 - (-2)} = \frac{-12}{4}. 2. Simplify the fraction Simplify \frac{-12}{4} to get -3.

Explanation

1. Calculate the slope<br /> Use the formula for slope: $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substitute $(x_1, y_1) = (-2, 7)$ and $(x_2, y_2) = (2, -5)$ into the formula: $m = \frac{-5 - 7}{2 - (-2)} = \frac{-12}{4}$.<br />2. Simplify the fraction<br /> Simplify $\frac{-12}{4}$ to get $-3$.
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