Find the slope of the line that passes through (2, 10) and (5, 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: (x1, y1) = (2, 10) Point 2: (x2, y2) = (5, 2) 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 use this formula to find the slope of the line passing through the given points.Substitute Coordinates: Substitute the coordinates of the points into the slope formula. m = (2 - 10) / (5 - 2)Perform Subtraction: Perform the subtraction in the numerator and the denominator. m = (-8) / (3)Simplify Fraction: Simplify the fraction if possible. The fraction -8/3 cannot be simplified further, so this is the slope of the line.

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Find the slope of the line that passes through $(2, 10)$ and $(5, 2)$ . $\newline$ 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

(2, 10)

and

(5, 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 $1$ : $(x_1, y_1) = (2, 10)$ $\newline$ Point $2$ : $(x_2, y_2) = (5, 2)$ $\newline$ 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 use this formula to find the slope of the line passing through the given points.
Substitute Coordinates: Substitute the coordinates of the points into the slope formula. $m = \frac{2 - 10}{5 - 2}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $m = \frac{-8}{3}$
Simplify Fraction: Simplify the fraction if possible. $\newline$ The fraction $-\frac{8}{3}$ cannot be simplified further, so this is the slope of the line.