Question

what is the equation in point slope form of the line that passes through the point (1, -2) and has a slope of 3?
$y + 1 = 3(x - 2)$
$y + 2 = 3(x - 1)$
$y - 1 = 3(x + 2)$
$y - 2 = 3(x + 1)$

Explanation:

Step1: Recall point-slope formula

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

Step2: Substitute given values

Given $(x_1, y_1)=(1, -2)$ and $m=3$. Substitute into the formula:
$y - (-2) = 3(x - 1)$

Step3: Simplify the equation

Simplify the left-hand side:
$y + 2 = 3(x - 1)$

Answer:

$\boldsymbol{y + 2 = 3(x - 1)}$ (Option 3)