Find the slope of the line that passes through (8, 10) and (5, 12). 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: (8, 10) Point 2: (5, 12) 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 (8, 10) as (x1, y1) and Point 2 (5, 12) as (x2, y2), we get: m = (12 - 10) / (5 - 8)Calculate Differences: Calculate the difference in the y-coordinates and the x-coordinates. Difference in y-coordinates: 12 - 10 = 2 Difference in x-coordinates: 5 - 8 = -3Calculate Slope: Calculate the slope using the differences. m = 2 / -3 The slope of the line is -2/3.

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Find the slope of the line that passes through $(8, 10)$ and $(5, 12)$ . $\newline$ 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

(8, 10)

and

(5, 12)

\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 $1$ : $(8, 10)$ $\newline$ Point $2$ : $(5, 12)$ $\newline$ 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 $1$ $(8, 10)$ as $(x_1, y_1)$ and Point $2$ $(5, 12)$ as $(x_2, y_2)$ , we get: $\newline$ $m = \frac{(12 - 10)}{(5 - 8)}$
Calculate Differences: Calculate the difference in the y-coordinates and the x-coordinates. $\newline$ Difference in y-coordinates: $12 - 10 = 2$ $\newline$ Difference in x-coordinates: $5 - 8 = -3$
Calculate Slope: Calculate the slope using the differences. $\newline$ $m = \frac{2}{-3}$ $\newline$ The slope of the line is $-\frac{2}{3}$ .