Find the slope of the line that passes through (6, 6) and (1, 8). 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: (6, 6) Point 2: (1, 8) 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 (6, 6) as (x1, y1) and Point 2 (1, 8) as (x2, y2), we get: m = (8 - 6) / (1 - 6)Calculate Differences: Calculate the difference in the y-coordinates and the x-coordinates. m = (8 - 6) / (1 - 6) = 2 / (-5)Simplify Fraction: Simplify the fraction to get the slope of the line. m = 2 / (-5) = -2/5 The slope of the line is -2/5, which is a proper fraction.

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Find the slope of the line that passes through $(6, 6)$ and $(1, 8)$ . $\newline$ 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

(6, 6)

and

(1, 8)

\newline

Write your answer in its simplest form.

Identify Coordinates: Identify the coordinates of the two points. $\newline$ Point $1$ : $(6, 6)$ $\newline$ Point $2$ : $(1, 8)$ $\newline$ 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 $1$ $(6, 6)$ as $(x_1, y_1)$ and Point $2$ $(1, 8)$ as $(x_2, y_2)$ , we get: $\newline$ $m = \frac{8 - 6}{1 - 6}$
Calculate Differences: Calculate the difference in the $y$ -coordinates and the $x$ -coordinates. $m = (8 - 6) / (1 - 6) = 2 / (-5)$
Simplify Fraction: Simplify the fraction to get the slope of the line. $\newline$ $m = \frac{2}{(-5)} = -\frac{2}{5}$ $\newline$ The slope of the line is $-\frac{2}{5}$ , which is a proper fraction.