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Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in slope-intercept form, if possible, (6,2);y=-3x-3

Find the equation of the line that contains the given point and is perpendicular to-example-1
User Ashok Kumar Ganesan
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1 Answer

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20 votes

Answer:


y=(1)/(3)x

Explanation:

We need to find a line perpendicular to the given line. Let's first find the slope. If the line is perpendicular, it's slope is the negative reciprocal of the given line:


(1)/(3)x

Now that we know the slope, we can plug in the given points to solve for the y-intercept.


y=(1)/(3)x+b\\ 2=(1)/(3)*6+b\\ 2=2+b\\ b=0

Therefore the equation of the line is:


y=(1)/(3)x

User Steve Hatcher
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