Find the slope of the line that passes through (3, 6) and (1, 13). 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, 6) Point 2: (x2, y2) = (1, 13)Recall Slope Formula: Recall the formula for the slope (m) of a line passing through 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. m = (13 - 6) / (1 - 3)Perform Subtraction: Perform the subtraction in the numerator and the denominator. m = 7 / (-2)Simplify Fraction: Simplify the fraction if possible. In this case, 7 and -2 are both prime numbers, so the fraction is already in its simplest form. m = -7/2

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Find the slope of the line that passes through $(3, 6)$ and $(1, 13)$ . $\newline$ 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, 6)

and

(1, 13)

\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 $1$ : $(x_1, y_1) = (3, 6)$ $\newline$ Point $2$ : $(x_2, y_2) = (1, 13)$
Recall Slope Formula: Recall the formula for the slope $m$ of a line passing through 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. $\newline$ $m = \frac{13 - 6}{1 - 3}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $\newline$ $m = \frac{7}{(-2)}$
Simplify Fraction: Simplify the fraction if possible. In this case, $7$ and $-2$ are both prime numbers, so the fraction is already in its simplest form. $\newline$ $m = -\frac{7}{2}$