Find the slope of the line that passes through (5, 1) and (7, 4). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Coordinates: Identify the coordinates of the two points. Point 1: (5, 1) Point 2: (7, 4) We will use these coordinates to calculate the slope of the line.Recall Slope Formula: Recall the formula for slope (m) when given two points (x1, y1) and (x2, y2). The formula is m = (y2 - y1) / (x2 - x1).Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. Using Point 1 (5, 1) as (x1, y1) and Point 2 (7, 4) as (x2, y2), we get: m = (4 - 1) / (7 - 5)Perform Subtraction: Perform the subtraction in the numerator and the denominator. m = (4 - 1) / (7 - 5) m = 3 / 2Check Result: Check the result to ensure there are no mathematical errors. The slope of 3/2 is a valid result for the given points, and there are no arithmetic errors.

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Find the slope of the line that passes through $(5, 1)$ and $(7, 4)$ . $\newline$ Write your answer in its simplest form.

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Grade 7

Find the slope from two points

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Q. Find the slope of the line that passes through

(5, 1)

and

(7, 4)

\newline

Write your answer in its simplest form.

Identify Coordinates: Identify the coordinates of the two points. $\newline$ Point $1$ : $(5, 1)$ $\newline$ Point $2$ : $(7, 4)$ $\newline$ We will use these coordinates to calculate the slope of the line.
Recall Slope Formula: Recall the formula for slope $m$ when given two points $(x_1, y_1)$ and $(x_2, y_2)$ . The formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$ .
Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. $\newline$ Using Point $1$ $(5, 1)$ as $(x_1, y_1)$ and Point $2$ $(7, 4)$ as $(x_2, y_2)$ , we get: $\newline$ $m = \frac{4 - 1}{7 - 5}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $\newline$ $m = \frac{4 - 1}{7 - 5}$ $\newline$ $m = \frac{3}{2}$
Check Result: Check the result to ensure there are no mathematical errors. $\newline$ The slope of $\frac{3}{2}$ is a valid result for the given points, and there are no arithmetic errors.