Find the slope of the line that passes through (3, 4) and (5, 7). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Coordinates: Identify the coordinates of the two points. Point 1: (x1, y1) = (3, 4) Point 2: (x2, y2) = (5, 7) 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: m = (y2 - y1) / (x2 - x1). We will plug the coordinates of the two points into this formula to find the slope.Substitute Coordinates: Substitute the coordinates into the slope formula. m = (7 - 4) / (5 - 3)Perform Subtraction: Perform the subtraction in the numerator and the denominator. m = 3 / 2Check Simplification: Check the result to ensure it is simplified. The fraction 3/2 is already in its simplest form, so no further simplification is needed.

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Find the slope of the line that passes through $(3, 4)$ and $(5, 7)$ . $\newline$ Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\newline$ _____

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Math Problems

Grade 7

Find the slope from two points

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Q. Find the slope of the line that passes through

(3, 4)

and

(5, 7)

\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. $\newline$ Point $1$ : $(x_1, y_1) = (3, 4)$ $\newline$ Point $2$ : $(x_2, y_2) = (5, 7)$ $\newline$ 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: $m = \frac{y_2 - y_1}{x_2 - x_1}$ . We will plug the coordinates of the two points into this formula to find the slope.
Substitute Coordinates: Substitute the coordinates into the slope formula. $m = \frac{7 - 4}{5 - 3}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $m = \frac{3}{2}$
Check Simplification: Check the result to ensure it is simplified. $\newline$ The fraction $\frac{3}{2}$ is already in its simplest form, so no further simplification is needed.