Find the slope of the line that passes through (3, 2) and (6, 9). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Coordinates: Identify the coordinates of the two points. The first point is (3, 2), which means x₁ = 3 and y₁ = 2. The second point is (6, 9), which means x₂ = 6 and y₂ = 9. 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). The formula is m = (y₂ - y₁) / (x₂ - x₁).Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. m = (9 - 2) / (6 - 3)Perform Subtraction: Perform the subtraction in the numerator and the denominator. m = 7 / 3Check Fraction: Check if the fraction can be simplified. The fraction 7/3 is already in its simplest form, as 7 and 3 have no common factors other than 1.

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Find the slope of the line that passes through $(3, 2)$ and $(6, 9)$ . $\newline$ 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

(3, 2)

and

(6, 9)

\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. $\newline$ The first point is $(3, 2)$ , which means $x_1 = 3$ and $y_1 = 2$ . $\newline$ The second point is $(6, 9)$ , which means $x_2 = 6$ and $y_2 = 9$ . $\newline$ 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 $(x_2, y_2)$ . The formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$ .
Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. $m = \frac{9 - 2}{6 - 3}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $m = \frac{7}{3}$
Check Fraction: Check if the fraction can be simplified. $\newline$ The fraction $\frac{7}{3}$ is already in its simplest form, as $7$ and $3$ have no common factors other than $1$ .