Find the slope of the line that passes through (4, 9) and (7, 1). 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 the first point as (x1, y1) = (4, 9) and the second point as (x2, y2) = (7, 1).Substitute Coordinates: Now we substitute the coordinates of the points into the slope formula: slope = (1 - 9) / (7 - 4).Perform Subtraction: Perform the subtraction in the numerator and the denominator: slope = (-8) / (3).Final Slope: The slope of the line is -8/3, which is an improper fraction. There is no need to simplify further as this is the simplest form of the fraction.

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Find the slope of the line that passes through $(4, 9)$ and $(7, 1)$ . $\newline$ 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

(4, 9)

and

(7, 1)

\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 (change in $y$ ) / (change in $x$ ), or $(y_2 - y_1) / (x_2 - x_1)$ . Let's denote the first point as $(x_1, y_1) = (4, 9)$ and the second point as $(x_2, y_2) = (7, 1)$ .
Substitute Coordinates: Now we substitute the coordinates of the points into the slope formula: $\text{slope} = \frac{1 - 9}{7 - 4}$ .
Perform Subtraction: Perform the subtraction in the numerator and the denominator: $slope = \frac{-8}{3}$ .
Final Slope: The slope of the line is $-\frac{8}{3}$ , which is an improper fraction. There is no need to simplify further as this is the simplest form of the fraction.