Find the slope of the line that passes through (10, 8) and (5, 9). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Points: To find the slope of a line that passes through two points, we use the formula for slope (m): m = (change in y) / (change in x) = (y2 - y1) / (x2 - x1) Let's identify our points as (x1, y1) = (10, 8) and (x2, y2) = (5, 9).Calculate Change in y: Now we calculate the change in y, which is y2 - y1: Change in y = 9 - 8 = 1Calculate Change in x: Next, we calculate the change in x, which is x2 - x1: Change in x = 5 - 10 = -5Find Slope: Now we can find the slope by dividing the change in y by the change in x: m = 1 / (-5) = -1/5Final Result: We have found the slope of the line that passes through the points (10, 8) and (5, 9) to be -1/5. This is a proper fraction and represents the slope of the line.

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Find the slope of the line that passes through $(10, 8)$ and $(5, 9)$ . $\newline$ 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

(10, 8)

and

(5, 9)

\newline

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

\newline

_____

Identify Points: To find the slope of a line that passes through two points, we use the formula for slope $m$ : $m = \frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1}$ Let's identify our points as $(x_1, y_1) = (10, 8)$ and $(x_2, y_2) = (5, 9)$ .
Calculate Change in y: Now we calculate the change in y, which is $y_2 - y_1$ : $\text{Change in y} = 9 - 8 = 1$
Calculate Change in x: Next, we calculate the change in x, which is $x_2 - x_1$ : $\newline$ Change in x = $5 - 10 = -5$
Find Slope: Now we can find the slope by dividing the change in $y$ by the change in $x$ : $m = \frac{1}{(-5)} = -\frac{1}{5}$
Final Result: We have found the slope of the line that passes through the points $(10, 8)$ and $(5, 9)$ to be $-\frac{1}{5}$ . This is a proper fraction and represents the slope of the line.