Find the slope of the line that passes through (1, 4) and (10, 9). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Slope Formula: To find the slope of the line, we use the slope formula, which is (change in y) / (change in x), also known as (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.Substitute Given Points: Substitute the given points into the slope formula. Let (1, 4) be (x1, y1) and (10, 9) be (x2, y2). So, we have: Slope (m) = (9 - 4) / (10 - 1)Calculate Differences: Calculate the differences: Slope (m) = 5 / 9Final Slope Calculation: The slope of the line is 5/9, which is already in its simplest form as a proper fraction.

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Find the slope of the line that passes through $(1, 4)$ and $(10, 9)$ . $\newline$ 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, 4)

and

(10, 9)

\newline

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

\newline

_____

Identify Slope Formula: To find the slope of the line, we use the slope formula, which is $(\text{change in } y) / (\text{change in } x)$ , also known as $(y_2 - y_1) / (x_2 - x_1)$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points.
Substitute Given Points: Substitute the given points into the slope formula. Let $(1, 4)$ be $(x_1, y_1)$ and $(10, 9)$ be $(x_2, y_2)$ . So, we have: $\newline$ Slope $m$ = $\frac{9 - 4}{10 - 1}$
Calculate Differences: Calculate the differences: $\newline$ Slope $m$ = $\frac{5}{9}$
Final Slope Calculation: The slope of the line is $\frac{5}{9}$ , which is already in its simplest form as a proper fraction.