point-slope form of a line with given slope and point
Check the final answer first, then review the worked steps.
Problem
point-slope form of a line with given slope and point
Step-by-step solution
The point-slope form of a linear equation is $y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a point on the line. Given $m = -3$ and $(x_1, y_1) = (10, -1)$, substitute these values into the formula: $y - (-1) = -3(x - 10)$, which simplifies to $y + 1 = -3(x - 10)$.
Answer
$y + 1 = -3(x - 10)$