Question #N259
In the $xy$-plane, line $l$ passes through points $(2,4)$ and $(6,-8)$. What is the slope of line $l$?
A. -3
B. -2
C. 2
D. 3
Correct Answer is: A
The slope of a line passing through two points can be found using the formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substituting the coordinates (2, 4) and (6, -8) for $(x_1, y_1)$ and $(x_2, y_2)$, respectively, yields $m = \frac{-8 - 4}{6 - 2}$. Simplifying the expression gives $m = \frac{-12}{4}$, or $m = -3$. Therefore, the slope of line $l$ is $-3$.