Find the slope of the line that passes through (9, 2) and (2, 6). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Slope Formula: To find the slope of a line that passes through two points, we use the formula for slope (m), which is the change in y divided by the change in x. This is expressed as: m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of the two points.Identify Coordinates: First, identify the coordinates of the two points. Point 1 is (9, 2) and Point 2 is (2, 6). This means x1 = 9, y1 = 2, x2 = 2, and y2 = 6.Substitute Coordinates: Now, substitute the coordinates into the slope formula: m = (6 - 2) / (2 - 9)Perform Subtraction: Perform the subtraction in the numerator and the denominator: m = 4 / (-7)Final Slope Calculation: The slope of the line is -4/7, which is already in its simplest form as a proper fraction.

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Find the slope of the line that passes through $(9, 2)$ and $(2, 6)$ . $\newline$ 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, 2)

and

(2, 6)

\newline

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

\newline

_____

Slope Formula: To find the slope of a line that passes through two points, we use the formula for slope $m$ , which is the change in $y$ divided by the change in $x$ . This is expressed as: $\newline$ $m = \frac{(y_2 - y_1)}{(x_2 - x_1)}$ $\newline$ where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points.
Identify Coordinates: First, identify the coordinates of the two points. Point $1$ is $(9, 2)$ and Point $2$ is $(2, 6)$ . This means $x_1 = 9$ , $y_1 = 2$ , $x_2 = 2$ , and $y_2 = 6$ .
Substitute Coordinates: Now, substitute the coordinates into the slope formula: $m = \frac{6 - 2}{2 - 9}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator: $m = \frac{4}{(-7)}$
Final Slope Calculation: The slope of the line is $-\frac{4}{7}$ , which is already in its simplest form as a proper fraction.