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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
 #1
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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)

\(y=\frac{1}{2}x+2\)

 Apr 26, 2020

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