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# equation of line

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Write an equation of the line that passes through the given point and is perpendicular to the given line

(-4,-4); y = -2x - 3

Mar 19, 2021

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Since the slope of that line is -2, the the perpendicular one would be its negative reciprocal, which is $$\frac{1}{2}$$

This means you can use the equation and plug in the point (-4, -4) to find the y intercept:
$$y = mx + b$$

$$-4 = \frac{1}{2} \cdot (-4) + b$$

$$-4 = -2 + b$$

$$b = -2$$

This means the equation of the line, and your answer, is: $$y = \frac{1}{2}x -2$$

Mar 19, 2021