Find the slope of the line that passes through (4, 5) and (1, 7). 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, 5) Point 2: (x2, y2) = (1, 7) 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 plug in the values from Step 1 into this formula.Substitute Coordinates: Substitute the coordinates into the slope formula. m = (7 - 5) / (1 - 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) is already in simplest form, so this is our final answer.

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Find the slope of the line that passes through $(4, 5)$ and $(1, 7)$ . $\newline$ 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, 5)

and

(1, 7)

\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 $1$ : $(x_1, y_1) = (4, 5)$ $\newline$ Point $2$ : $(x_2, y_2) = (1, 7)$ $\newline$ 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 plug in the values from Step $1$ into this formula.
Substitute Coordinates: Substitute the coordinates into the slope formula. $m = \frac{7 - 5}{1 - 4}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $\newline$ $m = \frac{2}{-3}$
Simplify Fraction: Simplify the fraction if possible. $\newline$ The fraction $2 / (-3)$ is already in simplest form, so this is our final answer.