Find an equation of the line that passes through the point (3, - 4) and has the slope m = 2.
A) y - 2x = 10
B) y = 2x - 4
C) y = 2(x + 3) - 4
D) y = 2x - 10

Question

Quizplus · Accepted Answer

The equation of a line with slope $m$ passing through a point $(x_1, y_1)$ is given by $y - y_1 = m(x - x_1)$. Substituting $m = 2$, $x_1 = 3$, and $y_1 = -4$ gives $y + 4 = 2(x - 3)$, simplifying to $y = 2x - 10$.

Find an Equation of the Line That Passes Through the Point