Find the slope of the line that passes through (7, 6) and (2, 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: (7, 6) Point 2: (2, 4) We will use these coordinates to calculate the slope of the line.Recall Slope Formula: Recall the formula for the slope (m) of a line given two points (x1, y1) and (x2, y2) is: m = (y2 - y1) / (x2 - x1)Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. Using Point 1 (7, 6) as (x1, y1) and Point 2 (2, 4) as (x2, y2), we get: m = (4 - 6) / (2 - 7)Calculate Differences: Calculate the difference in the y-coordinates and the x-coordinates. m = (-2) / (-5)Simplify Fraction: Simplify the fraction to find the slope. m = 2 / 5

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Find the slope of the line that passes through $(7, 6)$ and $(2, 4)$ . $\newline$ Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\newline$ _____

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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

(7, 6)

and

(2, 4)

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

_____

Identify Coordinates: Identify the coordinates of the two points. $\newline$ Point $1$ : $(7, 6)$ $\newline$ Point $2$ : $(2, 4)$ $\newline$ We will use these coordinates to calculate the slope of the line.
Recall Slope Formula: Recall the formula for the slope $m$ of a line given two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $\newline$ $m = \frac{y_2 - y_1}{x_2 - x_1}$
Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. $\newline$ Using Point $1$ $(7, 6)$ as $(x_1, y_1)$ and Point $2$ $(2, 4)$ as $(x_2, y_2)$ , we get: $\newline$ $m = \frac{(4 - 6)}{(2 - 7)}$
Calculate Differences: Calculate the difference in the $y$ -coordinates and the $x$ -coordinates. $m = \frac{-2}{-5}$
Simplify Fraction: Simplify the fraction to find the slope. $m = \frac{2}{5}$