Question #N14
A line in the $xy$-plane passes through the points $(2,4)$ and $(6,10)$. What is the slope of the line?
A. $\frac{1}{2}$
B. $\frac{3}{2}$
C. 2
D. 3
Correct Answer is: B
The slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $(2,4)$ for $(x_1, y_1)$ and $(6,10)$ for $(x_2, y_2)$, we get $\frac{10-4}{6-2} = \frac{6}{4} = \frac{3}{2}$. Therefore, the slope of the line is $\frac{3}{2}$.