Find the slope of the line that passes through (10, 6) 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) = (10, 6) Point 2: (x2, y2) = (7, 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 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 = (1 - 6) / (7 - 10)Perform Subtraction: Perform the subtraction in the numerator and the denominator. m = (-5) / (-3)Simplify Fraction: Simplify the fraction. m = 5/3 Since the negatives cancel out, the slope is positive.

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Find the slope of the line that passes through $(10, 6)$ and $(7, 1)$ . $\newline$ Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\newline$ _____

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Math Problems

Grade 7

Find the slope from two points

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Q. Find the slope of the line that passes through

(10, 6)

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 $1$ : $(x_1, y_1) = (10, 6)$ $\newline$ Point $2$ : $(x_2, y_2) = (7, 1)$ $\newline$ 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 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. $\newline$ $m = \frac{1 - 6}{7 - 10}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $\newline$ $m = \frac{-5}{-3}$
Simplify Fraction: Simplify the fraction. $m = \frac{5}{3}$ Since the negatives cancel out, the slope is positive.