Question

problem 5
the points (2, 4) and (6, 7) lie on a line. what is the slope of the line?
a. 2
b. 1
c. $\frac{4}{3}$
d. $\frac{3}{4}$

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: Assign values to variables

Let $(x_1,y_1)=(2,4)$ and $(x_2,y_2)=(6,7)$. Substitute into the formula:
$m=\frac{7-4}{6-2}$

Step3: Calculate numerator and denominator

$m=\frac{3}{4}$

Answer:

D. $\frac{3}{4}$