Find the slope of the line that passes through (10, 10) and (8, 1). 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 (10, 10) and (8, 1), we have: x1 = 10, y1 = 10, x2 = 8, y2 = 1. So, m = (1 - 10) / (8 - 10).Perform Subtraction: Now, let's perform the subtraction in the numerator and the denominator: m = (-9) / (-2).Division Result: When we divide -9 by -2, we get a positive number because a negative divided by a negative is a positive: m = 4.5 or 9/2 as a proper fraction.

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Find the slope of the line that passes through $(10, 10)$ and $(8, 1)$ . $\newline$ 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

(10, 10)

and

(8, 1)

\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 $(10, 10)$ and $(8, 1)$ , we have: $\newline$ $x_1 = 10$ , $y_1 = 10$ , $x_2 = 8$ , $y_2 = 1$ . $\newline$ So, $m = \frac{1 - 10}{8 - 10}$ .
Perform Subtraction: Now, let's perform the subtraction in the numerator and the denominator: $\newline$ $m = \frac{-9}{-2}$ .
Division Result: When we divide $-9$ by $-2$ , we get a positive number because a negative divided by a negative is a positive: $\newline$ $m = 4.5$ or rac{9}{2} as a proper fraction.