Find the slope of the line that passes through (8, 9) and (5, 11). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Points: To find the slope of the line that passes through two points, we use the slope formula, which is (change in y) / (change in x), or (y2 - y1) / (x2 - x1). Here, our points are (8, 9) and (5, 11), so we can label them as follows: (x1, y1) = (8, 9) and (x2, y2) = (5, 11).Apply Slope Formula: Now we will plug these values into the slope formula to find the slope (m): m = (y2 - y1) / (x2 - x1) m = (11 - 9) / (5 - 8)Perform Subtraction: Next, we perform the subtraction in the numerator and the denominator: m = (2) / (-3)Final Slope Calculation: The slope of the line is the fraction 2 / -3, which can also be written as -2 / 3. This is the simplified form of the slope, and it is an improper fraction.

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Find the slope of the line that passes through $(8, 9)$ and $(5, 11)$ . $\newline$ 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

(8, 9)

and

(5, 11)

\newline

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

\newline

_____

Identify Points: To find the slope of the line that passes through two points, we use the slope formula, which is (change in $y$ ) / (change in $x$ ), or $(y_2 - y_1) / (x_2 - x_1)$ . Here, our points are $(8, 9)$ and $(5, 11)$ , so we can label them as follows: $(x_1, y_1) = (8, 9)$ and $(x_2, y_2) = (5, 11)$ .
Apply Slope Formula: Now we will plug these values into the slope formula to find the slope $m$ : $m = \frac{y_2 - y_1}{x_2 - x_1}$ $m = \frac{11 - 9}{5 - 8}$
Perform Subtraction: Next, we perform the subtraction in the numerator and the denominator: $\newline$ $m = \frac{2}{-3}$
Final Slope Calculation: The slope of the line is the fraction $\frac{2}{-3}$ , which can also be written as $-\frac{2}{3}$ . This is the simplified form of the slope, and it is an improper fraction.