Find the slope of the line that passes through (3, 2) and (10, 7). 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: (x1, y1) = (3, 2) Point 2: (x2, y2) = (10, 7) 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: m = (y2 - y1) / (x2 - x1). We will plug the coordinates of the two points into this formula to find the slope.Substitute Coordinates: Substitute the coordinates into the slope formula. m = (7 - 2) / (10 - 3)Perform Subtraction: Perform the subtraction in the numerator and the denominator. m = 5 / 7Check for Simplification: Check if the fraction can be simplified further. Since 5 and 7 are both prime numbers and have no common factors other than 1, the fraction 5/7 is already in its simplest form.Write Final Answer: Write the final answer. The slope of the line that passes through the points (3, 2) and (10, 7) is 5/7.

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

(3, 2)

and

(10, 7)

\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 $1$ : $(x_1, y_1) = (3, 2)$ $\newline$ Point $2$ : $(x_2, y_2) = (10, 7)$ $\newline$ 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: $m = \frac{y_2 - y_1}{x_2 - x_1}$ . We will plug the coordinates of the two points into this formula to find the slope.
Substitute Coordinates: Substitute the coordinates into the slope formula. $m = \frac{7 - 2}{10 - 3}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $m = \frac{5}{7}$
Check for Simplification: Check if the fraction can be simplified further. $\newline$ Since $5$ and $7$ are both prime numbers and have no common factors other than $1$ , the fraction $\frac{5}{7}$ is already in its simplest form.
Write Final Answer: Write the final answer. $\newline$ The slope of the line that passes through the points $(3, 2)$ and $(10, 7)$ is $\frac{5}{7}.$