Find a point-slope form equation for the line through the point with the given slope.
-(3, -7), m = 3
A) y + 7 = 3(x - 3)
B) y - 7 = 3(x - 3)
C) y + 7 = -3(x - 3)
D) y + 7 = 3(x + 3)

Question

Quizplus · Accepted Answer

The point-slope form of a line is given by $y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a point on the line. Substituting $m = 3$, $x_1 = 3$, and $y_1 = -7$ into the formula gives $y - (-7) = 3(x - 3)$, which simplifies to $y + 7 = 3(x - 3)$.

Find a Point-Slope Form Equation for the Line Through the Point