Find the slope of the line that passes through (6, 1) and (1, 5). 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: (6, 1) Point 2: (1, 5) 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) is: m = (y2 - y1) / (x2 - x1)Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. Using Point 1 (6, 1) as (x1, y1) and Point 2 (1, 5) as (x2, y2), we get: m = (5 - 1) / (1 - 6)Calculate Differences: Calculate the difference in the y-coordinates and the x-coordinates. Difference in y-coordinates: 5 - 1 = 4 Difference in x-coordinates: 1 - 6 = -5Calculate Slope: Calculate the slope using the differences. m = 4 / -5 The slope of the line is -4/5.

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Find the slope of the line that passes through $(6, 1)$ and $(1, 5)$ . $\newline$ 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

(6, 1)

and

(1, 5)

\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 $1$ : $(6, 1)$ $\newline$ Point $2$ : $(1, 5)$ $\newline$ 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 $(x_2, y_2)$ is: $\newline$ $m = \frac{y_2 - y_1}{x_2 - x_1}$
Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. $\newline$ Using Point $1$ $(6, 1)$ as $(x_1, y_1)$ and Point $2$ $(1, 5)$ as $(x_2, y_2)$ , we get: $\newline$ $m = \frac{5 - 1}{1 - 6}$
Calculate Differences: Calculate the difference in the y-coordinates and the x-coordinates. $\newline$ Difference in y-coordinates: $5 - 1 = 4$ $\newline$ Difference in x-coordinates: $1 - 6 = -5$
Calculate Slope: Calculate the slope using the differences. $\newline$ $m = \frac{4}{-5}$ $\newline$ The slope of the line is $-\frac{4}{5}$ .