Find the slope of the line that passes through (5, 15) and (9, 6). 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, 15) Point 2: (9, 6) 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 (x1, y1) and (x2, y2): m = (y2 - y1) / (x2 - x1)Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. Using Point 1 (5, 15) as (x1, y1) and Point 2 (9, 6) as (x2, y2), we get: m = (6 - 15) / (9 - 5)Perform Subtraction: Perform the subtraction in the numerator and the denominator. m = (-9) / (4)Simplify Fraction: Simplify the fraction if possible. The fraction -9/4 is already in simplest form, so we do not need to simplify further.

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Find the slope of the line that passes through $(5, 15)$ and $(9, 6)$ . $\newline$ 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

(5, 15)

and

(9, 6)

\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 $1$ : $(5, 15)$ $\newline$ Point $2$ : $(9, 6)$ $\newline$ 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 $(x_1, y_1)$ 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. $\newline$ Using Point $1$ $(5, 15)$ as $(x_1, y_1)$ and Point $2$ $(9, 6)$ as $(x_2, y_2)$ , we get: $\newline$ $m = \frac{(6 - 15)}{(9 - 5)}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $m = \frac{-9}{4}$
Simplify Fraction: Simplify the fraction if possible. $\newline$ The fraction $-\frac{9}{4}$ is already in simplest form, so we do not need to simplify further.