Find the slope of the line that passes through (8, 7) and (6, 8). 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. Let's assign the points as follows: (x1, y1) = (8, 7) and (x2, y2) = (6, 8). Now we can plug these values into the slope formula.Assign Points: Calculate the difference in the y-coordinates (y2 - y1): 8 - 7 = 1.Calculate y-coordinate difference: Calculate the difference in the x-coordinates (x2 - x1): 6 - 8 = -2.Calculate x-coordinate difference: Now, divide the difference in y-coordinates by the difference in x-coordinates to find the slope: slope (m) = 1 / (-2) = -1/2.

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

(8, 7)

and

(6, 8)

\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. $\newline$ Let's assign the points as follows: $(x_1, y_1) = (8, 7)$ and $(x_2, y_2) = (6, 8)$ . $\newline$ Now we can plug these values into the slope formula.
Assign Points: Calculate the difference in the y-coordinates $y_2 - y_1$ : $8 - 7 = 1$ .
Calculate y-coordinate difference: Calculate the difference in the x-coordinates $(x_2 - x_1)$ : $6 - 8 = -2$ .
Calculate x-coordinate difference: Now, divide the difference in y-coordinates by the difference in x-coordinates to find the slope: slope $m$ = $\frac{1}{-2}$ = $-\frac{1}{2}$ .