Find the slope of the line that passes through (4, 3) and (7, 1). 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) = (4, 3) Point 2: (x2, y2) = (7, 1)Recall Slope Formula: Recall the formula for the slope (m) of a line passing through 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. m = (1 - 3) / (7 - 4)Perform Subtraction: Perform the subtraction in the numerator and the denominator. m = (-2) / (3)Simplify Fraction: Simplify the fraction if possible. The fraction -2/3 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 $(4, 3)$ and $(7, 1)$ . $\newline$ 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

(4, 3)

and

(7, 1)

\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 $1$ : $(x_1, y_1) = (4, 3)$ $\newline$ Point $2$ : $(x_2, y_2) = (7, 1)$
Recall Slope Formula: Recall the formula for the slope ( extit{m}) of a line passing through 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. $\newline$ $m = \frac{1 - 3}{7 - 4}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $m = \frac{-2}{3}$
Simplify Fraction: Simplify the fraction if possible. $\newline$ The fraction $-\frac{2}{3}$ cannot be simplified further, so this is the slope of the line.