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# Help

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What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5 ?

Jan 9, 2019

$$\text{a line perpendicular to a line with slope }m \text{ has slope }-\dfrac 1 m\\ y=-\dfrac 2 3 x + 5 \text{ has slope }m = -\dfrac 2 3\\ -\dfrac 1 m = \dfrac 3 2\\ \text{now we use point slope form of a line}\\ (y-1) = \dfrac 3 2 (x-8)\\ y = \dfrac 3 2 x - 11$$