Find the slope of the line that passes through (5, 8) 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: (5, 8) where x₁ = 5 and y₁ = 8 Point 2: (7, 1) where x₂ = 7 and y₂ = 1 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. m = (1 - 8) / (7 - 5)Perform Subtraction: Perform the subtraction in the numerator and the denominator. m = (-7) / (2)Simplify Fraction: Simplify the fraction if possible. In this case, the fraction -7/2 is already in simplest form. So, the slope of the line is -7/2.

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Find the slope of the line that passes through $(5, 8)$ 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

(5, 8)

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 $1$ : $(5, 8)$ where $x_{1} = 5$ and $y_{1} = 8$ $\newline$ Point $2$ : $(7, 1)$ where $x_{2} = 7$ and $y_{2} = 1$ $\newline$ 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. $\newline$ $m = \frac{1 - 8}{7 - 5}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $m = \frac{-7}{2}$
Simplify Fraction: Simplify the fraction if possible. In this case, the fraction $-\frac{7}{2}$ is already in simplest form. $\newline$ So, the slope of the line is $-\frac{7}{2}$ .