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# help

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Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point
(2, 3).

Apr 26, 2020

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$$y=mx+c$$ the perpendicular equation is:

$$y=-\frac{1}{m}x+c$$ However, if it passes through another point then you need to find that point using the point-slope form:

$$y-y_1=m(x-x_1)$$ (Since it is perpendicular then m will be $$-\frac{1}{m}$$ (reciprocal opposite)(I.e. you flip the number or fraction and change sign)

$$y-3=\frac{1}{2}(x-2)$$ Rearrange (solve for y)

$$y=\frac{1}{2}x+2$$

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Apr 26, 2020