Find the slope of the line that passes through (6, 7) and (8, 10). 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 (6, 7) and (8, 10), we have x1 = 6, y1 = 7, x2 = 8, and y2 = 10. So, m = (10 - 7) / (8 - 6).Perform Subtraction: Now, let's perform the subtraction in the numerator and the denominator. m = (10 - 7) / (8 - 6) = 3 / 2.Calculate Slope: The slope of the line that passes through the points (6, 7) and (8, 10) is 3/2, which is an improper fraction. There is no need to simplify further as it is already in its simplest form.

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Find the slope of the line that passes through $(6, 7)$ and $(8, 10)$ . $\newline$ 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

(6, 7)

and

(8, 10)

\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 $(6, 7)$ and $(8, 10)$ , we have $x_1 = 6$ , $y_1 = 7$ , $x_2 = 8$ , and $y_2 = 10$ . So, $m = \frac{10 - 7}{8 - 6}$ .
Perform Subtraction: Now, let's perform the subtraction in the numerator and the denominator. $\newline$ $m = \frac{10 - 7}{8 - 6} = \frac{3}{2}$ .
Calculate Slope: The slope of the line that passes through the points $(6, 7)$ and $(8, 10)$ is $\frac{3}{2}$ , which is an improper fraction. There is no need to simplify further as it is already in its simplest form.