Question

multiple-choice question
one line goes through (5,2) and (7,5)
another goes through (-2,-6) and (0,-3).
are the lines parallel, perpendicular,
or neither?
what is the slope of this first line, that goes thru (5,2) and (7,5)?
3/2
-2/3

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Substitute given points

Let $(x_1,y_1)=(5,2)$ and $(x_2,y_2)=(7,5)$. Substitute into the formula:
$m=\frac{5-2}{7-5}=\frac{3}{2}$

Answer:

3/2