Find the slope of the line that passes through (1, 1) and (4, 9). 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) = (1, 1) Point 2: (x2, y2) = (4, 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: m = (y2 - y1) / (x2 - x1). We will apply this formula using the coordinates from Step 1.Substitute Coordinates: Substitute the coordinates into the slope formula. m = (9 - 1) / (4 - 1)Perform Subtraction: Perform the subtraction in the numerator and the denominator. m = 8 / 3Check Result: Check the result for any mathematical errors. The calculation is straightforward, and there are no complex operations, so the likelihood of an error is low. The result is a proper fraction, which is an acceptable form for the slope.

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Find the slope of the line that passes through $(1, 1)$ and $(4, 9)$ . $\newline$ 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

(1, 1)

and

(4, 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. $\newline$ Point $1$ : $(x_1, y_1) = (1, 1)$ $\newline$ Point $2$ : $(x_2, y_2) = (4, 9)$ $\newline$ 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: $m = \frac{y_2 - y_1}{x_2 - x_1}$ . We will apply this formula using the coordinates from Step $1$ .
Substitute Coordinates: Substitute the coordinates into the slope formula. $m = \frac{9 - 1}{4 - 1}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $\newline$ $m = \frac{8}{3}$
Check Result: Check the result for any mathematical errors. $\newline$ The calculation is straightforward, and there are no complex operations, so the likelihood of an error is low. The result is a proper fraction, which is an acceptable form for the slope.