Find the slope of the line that passes through (5, 6) and (2, 2). 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, 6) Point 2: (2, 2) We will use these coordinates to calculate the slope of the line.Recall Slope Formula: Recall the formula for slope (m) between 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, 6) as (x1, y1) and Point 2 (2, 2) as (x2, y2), we get: m = (2 - 6) / (2 - 5)Calculate Differences: Calculate the difference in the y-coordinates and the x-coordinates. m = (-4) / (-3)Simplify Fraction: Simplify the fraction to find the slope. m = 4/3

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Find the slope of the line that passes through $(5, 6)$ and $(2, 2)$ . $\newline$ Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\newline$ $\_\_\_\_$

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Math Problems

Grade 7

Find the slope from two points

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Q. Find the slope of the line that passes through

(5, 6)

and

(2, 2)

\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 $1$ : $(5, 6)$ $\newline$ Point $2$ : $(2, 2)$ $\newline$ We will use these coordinates to calculate the slope of the line.
Recall Slope Formula: Recall the formula for slope $m$ between 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 $1$ $(5, 6)$ as $(x_1, y_1)$ and Point $2$ $(2, 2)$ as $(x_2, y_2)$ , we get: $\newline$ $m = \frac{2 - 6}{2 - 5}$
Calculate Differences: Calculate the difference in the $y$ -coordinates and the $x$ -coordinates. $m = \frac{-4}{-3}$
Simplify Fraction: Simplify the fraction to find the slope. $m = \frac{4}{3}$