The slope of a line is given, and a point on the line is shown on a graph. Determin...
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Problem
The slope of a line is given, and a point on the line is shown on a graph. Determine the point-slope form of the line.
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 $m = -5$ and the point $(2, -8)$, we substitute these values into the formula: $y - (-8) = -5(x - 2)$, which simplifies to $y + 8 = -5(x - 2)$.
Answer
$y + 8 = -5(x - 2)$