The slope of a line is given, and a point on the line is shown in a graph. Determin...

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Problem

The slope of a line is given, and a point on the line is shown in 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 $m=2$ and the point $(1, -1)$, substitute these values into the formula.

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Answer

$y + 1 = 2(x - 1)$