Find the slope of the line that passes through (2, 1) and (7, 10). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Points: To find the slope of the line that passes through two points, we use the slope formula, which is (change in y) / (change in x), or (y2 - y1) / (x2 - x1). Let's denote (2, 1) as (x1, y1) and (7, 10) as (x2, y2).Substitute Coordinates: Now we substitute the coordinates of the points into the slope formula. So we have: Slope (m) = (y2 - y1) / (x2 - x1) = (10 - 1) / (7 - 2)Perform Subtraction: Next, we perform the subtraction in both the numerator and the denominator: Slope (m) = (10 - 1) / (7 - 2) = 9 / 5Final Slope: The slope of the line is 9/5, which is an improper fraction. There is no need to simplify further as this is already in simplest form.

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Find the slope of the line that passes through $(2, 1)$ and $(7, 10)$ . $\newline$ 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

(2, 1)

and

(7, 10)

\newline

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

\newline

_____

Identify Points: To find the slope of the line that passes through two points, we use the slope formula, which is $(\text{change in } y) / (\text{change in } x)$ , or $(y_2 - y_1) / (x_2 - x_1)$ . Let's denote $(2, 1)$ as $(x_1, y_1)$ and $(7, 10)$ as $(x_2, y_2)$ .
Substitute Coordinates: Now we substitute the coordinates of the points into the slope formula. So we have: $\newline$ Slope $m$ = $\frac{y_2 - y_1}{x_2 - x_1}$ = $\frac{10 - 1}{7 - 2}$
Perform Subtraction: Next, we perform the subtraction in both the numerator and the denominator: $\newline$ Slope $m$ = $(10 - 1) / (7 - 2) = 9 / 5$
Final Slope: The slope of the line is $\frac{9}{5}$ , which is an improper fraction. There is no need to simplify further as this is already in simplest form.