Find the slope of the line that passes through (5, 3) and (10, 9). 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, 3) Point 2: (10, 9) We will use these coordinates to calculate the slope of the line.Recall Slope Formula: Recall the formula for slope (m) when given 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, 3) as (x1, y1) and Point 2 (10, 9) as (x2, y2), we get: m = (9 - 3) / (10 - 5)Perform Subtraction: Perform the subtraction in the numerator and the denominator. m = (9 - 3) / (10 - 5) m = 6 / 5Simplify Fraction: Simplify the fraction if necessary. The fraction 6/5 is already in simplest form, so no further simplification is needed.

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Find the slope of the line that passes through $(5, 3)$ and $(10, 9)$ . $\newline$ 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

(5, 3)

and

(10, 9)

\newline

Write your answer in its simplest form.

Identify Coordinates: Identify the coordinates of the two points. $\newline$ Point $1$ : $(5, 3)$ $\newline$ Point $2$ : $(10, 9)$ $\newline$ We will use these coordinates to calculate the slope of the line.
Recall Slope Formula: Recall the formula for slope $m$ when given 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 $1$ $(5, 3)$ as $(x_1, y_1)$ and Point $2$ $(10, 9)$ as $(x_2, y_2)$ , we get: $\newline$ $m = \frac{9 - 3}{10 - 5}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $\newline$ $m = \frac{9 - 3}{10 - 5}$ $\newline$ $m = \frac{6}{5}$
Simplify Fraction: Simplify the fraction if necessary. $\newline$ The fraction $\frac{6}{5}$ is already in simplest form, so no further simplification is needed.