Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
-$(4,7)$ and $(7,7)$
A) -3 ; falls
B) 3; rises
C) 0; horizontal
D) Undefined; vertical

Question

Quizplus · Accepted Answer

The slope of a line through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$. For points $(4,7)$ and $(7,7)$, the slope is $m = \frac{7 - 7}{7 - 4} = 0$, indicating a horizontal line.

Find the Slope of the Line Through the Given Pair (4,7)(4,7)(4,7)

Find the Slope of the Line Through the Given Pair $(4,7)$