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3. Write an equation of the line that passes through (2, 3) and is perpendicular to y=-1/2x - 5

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Answer:

y=2x-1

Explanation:

A line that is perpendicular has a slope that is a negative reciprocal of the given equation. The slope of the given equation is -1/2, so the negative reciprocal would be 2.

Then, using slope-intercept form, plug in the point values (2,3) into the equation and solve for b.

y=mx+b

y=2x+b

3=2(2)+b

-1=b

Therefore the equation is y=2x-1

User Lars Lau Raket
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