QuestionAugust 24, 2025

Find the slope of the line that passes through these two points. Write your answer in simplest form. (10,2) (19,14)

Find the slope of the line that passes through these two points. Write your answer in simplest form. (10,2) (19,14)
Find the slope of the line that
passes through these two points.
Write your answer in
simplest form.
(10,2)
(19,14)

Solution
4.3(160 votes)

Answer

\frac{4}{3} Explanation 1. Calculate the slope Use the formula for the slope of a line: **m = \frac{y_2 - y_1}{x_2 - x_1}**. Substitute (x_1, y_1) = (10, 2) and (x_2, y_2) = (19, 14) into the formula: m = \frac{14 - 2}{19 - 10} = \frac{12}{9}. 2. Simplify the fraction Simplify \frac{12}{9} by dividing both numerator and denominator by their greatest common divisor, which is 3: \frac{12}{9} = \frac{4}{3}.

Explanation

1. Calculate the slope<br /> Use the formula for the slope of a line: **$m = \frac{y_2 - y_1}{x_2 - x_1}$**. Substitute $(x_1, y_1) = (10, 2)$ and $(x_2, y_2) = (19, 14)$ into the formula: $m = \frac{14 - 2}{19 - 10} = \frac{12}{9}$.<br />2. Simplify the fraction<br /> Simplify $\frac{12}{9}$ by dividing both numerator and denominator by their greatest common divisor, which is 3: $\frac{12}{9} = \frac{4}{3}$.
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