Question

find the slope of the line passing through the points given below or state that the slope is undefined. then indicate whether the line through the points rises, falls, is horizontal or is vertical (2,7) and (3,9)
select the correct choice below and, if necessary, fill in the answer box within your choice
a. the slope is 2
b. the slope is undefined.
indicate whether the line through the points rises, falls, is horizontal, or is vertical. choose the correct answer below
a. the line is horizontal
b. the line is vertical
c. the line falls from left to right
d. the line rises from left to right

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(2,7)$ and $(x_2,y_2)=(3,9)$.

Step2: Substitute values

$m=\frac{9 - 7}{3 - 2}=\frac{2}{1}=2$.

Step3: Determine line direction

Since the slope $m = 2>0$, as $x$ increases, $y$ increases. So the line rises from left - to - right.

Answer:

A. The slope is 2
D. The line rises from left to right