Find the slope of the line that passes through (9, 6) and (5, 5). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Slope Formula: To find the slope of the line that passes through two points, we use the slope formula, which is (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.Plug in Coordinates: Let's plug in the coordinates of the two points into the slope formula. For the points (9, 6) and (5, 5), we have x1 = 9, y1 = 6, x2 = 5, and y2 = 5. So, the slope (m) is (5 - 6) / (5 - 9).Calculate Differences: Now, let's calculate the difference in the y-coordinates and the x-coordinates. The difference in the y-coordinates is 5 - 6 = -1. The difference in the x-coordinates is 5 - 9 = -4.Divide Differences: Next, we divide the difference in the y-coordinates by the difference in the x-coordinates to get the slope. So, the slope (m) is -1 / -4.Simplify Slope: Since a negative divided by a negative is a positive, the slope simplifies to 1 / 4.

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

(9, 6)

and

(5, 5)

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

_____

Identify Slope Formula: To find the slope of the line that passes through two points, we use the slope formula, which is $(y_2 - y_1) / (x_2 - x_1)$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points.
Plug in Coordinates: Let's plug in the coordinates of the two points into the slope formula. For the points $(9, 6)$ and $(5, 5)$ , we have $x_1 = 9$ , $y_1 = 6$ , $x_2 = 5$ , and $y_2 = 5$ . So, the slope $m$ is $(5 - 6) / (5 - 9)$ .
Calculate Differences: Now, let's calculate the difference in the y-coordinates and the x-coordinates. $\newline$ The difference in the y-coordinates is $5 - 6 = -1$ . $\newline$ The difference in the x-coordinates is $5 - 9 = -4$ .
Divide Differences: Next, we divide the difference in the y-coordinates by the difference in the x-coordinates to get the slope. $\newline$ So, the slope $m$ is $-1 / -4$ .
Simplify Slope: Since a negative divided by a negative is a positive, the slope simplifies to $\frac{1}{4}$ .