Find the slope of the line that passes through (9, 9) and (2, 5). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Slope Formula: To find the slope of the line that passes through two points, we use the slope formula: slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.Plug in Coordinates: Let's plug in the coordinates of the two points into the slope formula. For our points (9, 9) and (2, 5), we have: x1 = 9, y1 = 9, x2 = 2, y2 = 5. So, m = (5 - 9) / (2 - 9).Perform Subtraction: Now, let's perform the subtraction in the numerator and the denominator: m = (-4) / (-7).Simplify Fraction: We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 1 in this case. So the fraction is already in its simplest form. m = 4/7.

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Find the slope of the line that passes through $(9, 9)$ and $(2, 5)$ . $\newline$ 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

(9, 9)

and

(2, 5)

\newline

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

\newline

_____

Slope Formula: To find the slope of the line that passes through two points, we use the slope formula: slope $m = \frac{y_2 - y_1}{x_2 - x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points.
Plug in Coordinates: Let's plug in the coordinates of the two points into the slope formula. For our points $(9, 9)$ and $(2, 5)$ , we have: $\newline$ $x_1 = 9$ , $y_1 = 9$ , $x_2 = 2$ , $y_2 = 5$ . $\newline$ So, $m = \frac{5 - 9}{2 - 9}$ .
Perform Subtraction: Now, let's perform the subtraction in the numerator and the denominator: $m = \frac{-4}{-7}$ .
Simplify Fraction: We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $1$ in this case. So the fraction is already in its simplest form. $\newline$ $m = \frac{4}{7}.$