Find the slope of the line that passes through (10, 2) and (3, 3). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Slope Formula: To find the slope of a 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, 2) and (3, 3), we have: x1 = 10, y1 = 2, x2 = 3, and y2 = 3. So, m = (3 - 2) / (3 - 10).Perform Subtraction: Now, let's perform the subtraction in the numerator and the denominator: m = (3 - 2) / (3 - 10) = 1 / (-7).Identify Slope: We can see that the slope is a negative fraction because the denominator is negative. The slope of the line is -1/7.

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Find the slope of the line that passes through $(10, 2)$ and $(3, 3)$ . $\newline$ 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, 2)

and

(3, 3)

\newline

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

\newline

_____

Slope Formula: To find the slope of a 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 $(10, 2)$ and $(3, 3)$ , we have: $\newline$ $x_1 = 10$ , $y_1 = 2$ , $x_2 = 3$ , and $y_2 = 3$ . $\newline$ So, $m = \frac{3 - 2}{3 - 10}$ .
Perform Subtraction: Now, let's perform the subtraction in the numerator and the denominator: $\newline$ $m = (3 - 2) / (3 - 10) = 1 / (-7)$ .
Identify Slope: We can see that the slope is a negative fraction because the denominator is negative. The slope of the line is $-\frac{1}{7}$ .