point-slope form of a line
Check the final answer first, then review the worked steps.
Problem
point-slope form of a line
Step-by-step solution
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. Given $m = \frac{2}{5}$ and $(x_1, y_1) = (-3, 6)$, substitute these values into the formula: $y - 6 = \frac{2}{5}(x - (-3))$, which simplifies to $y - 6 = \frac{2}{5}(x + 3)$.
Answer
$y - 6 = \frac{2}{5}(x + 3)$