The point-slope form of a line is given by the equation:
\[ y - y_1 = m(x - x_1) \]
where \((x_1, y_1)\) is a point on the line and \(m\) is the slope.
In this case, the point provided is \((1, -1)\) and the slope \(m\) is 4. Substituting these values into the point-slope form:
\[ y - (-1) = 4(x - 1) \]
This simplifies to:
\[ y + 1 = 4(x - 1) \]
Thus, the equation in point-slope form for the line that passes through the point (1, –1) and has a slope of 4 is:
\[ y + 1 = 4(x - 1) \]
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