Question

1. points p and q are located on the grid as shown.

what is the slope of the line that goes through points p and q?
a. $-\frac{5}{2}$ b. $-\frac{2}{5}$ c. $\frac{2}{5}$ d. $\frac{5}{2}$

Explanation:

Step1: Identify coordinates of P, Q

Point P: $(3, 2)$; Point Q: $(7, 12)$

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$
Substitute values: $m = \frac{12 - 2}{7 - 3} = \frac{10}{4} = \frac{5}{2}$

Answer:

D. $\frac{5}{2}$