Find the slope of the line that passes through (7, 3) and (2, 10). 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, 3) Point 2: (2, 10) 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): m = (y2 - y1) / (x2 - x1)Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. Using Point 1 (7, 3) as (x1, y1) and Point 2 (2, 10) as (x2, y2), we get: m = (10 - 3) / (2 - 7)Calculate Differences: Calculate the difference in the y-coordinates and the x-coordinates. Difference in y-coordinates: 10 - 3 = 7 Difference in x-coordinates: 2 - 7 = -5Calculate Slope: Calculate the slope using the differences. m = 7 / (-5) m = -7/5 The slope of the line is -7/5.

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Find the slope of the line that passes through $(7, 3)$ and $(2, 10)$ . $\newline$ 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, 3)

and

(2, 10)

\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 $1$ : $(7, 3)$ $\newline$ Point $2$ : $(2, 10)$ $\newline$ 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 $(x_2, y_2)$ : $m = \frac{y_2 - y_1}{x_2 - x_1}$
Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. $\newline$ Using Point $1$ $(7, 3)$ as $(x_1, y_1)$ and Point $2$ $(2, 10)$ as $(x_2, y_2)$ , we get: $\newline$ $m = \frac{10 - 3}{2 - 7}$
Calculate Differences: Calculate the difference in the y-coordinates and the x-coordinates. $\newline$ Difference in y-coordinates: $10 - 3 = 7$ $\newline$ Difference in x-coordinates: $2 - 7 = -5$
Calculate Slope: Calculate the slope using the differences. $\newline$ $m = \frac{7}{(-5)}$ $\newline$ $m = -\frac{7}{5}$ $\newline$ The slope of the line is $-\frac{7}{5}$ .