Question

what is the equation in point - slope form of the line that passes through the point (-2, 4) and has a slope of 3? a $y + 4 = 3(x - 2)$ b $y - 2 = 3(x + 4)$ c $y - 4 = 3(x + 2)$ d $y + 2 = 3(x - 4)$

Explanation:

Step1: Recall point-slope formula

The point-slope form of a line is $y - y_1 = m(x - x_1)$, where $m$ is the slope, and $(x_1, y_1)$ is the point on the line.

Step2: Identify given values

We have $m = 3$, $x_1 = -2$, $y_1 = 4$.

Step3: Substitute values into formula

Substitute into the formula: $y - 4 = 3(x - (-2))$, which simplifies to $y - 4 = 3(x + 2)$.

Answer:

C. $y - 4 = 3(x + 2)$