Question 994314
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{{{-4x+y-8=0}}} . Re-write in slope intercept form
{{{y=4x+8}}}
From this we know the slope is 4. The slope of the
perpendicular line is the negative reciprocal (-1/4):
{{{y=(-1/4)x+b}}}
Substitute the values from (3,2) to find b:
{{{2=(-1/4)3+b}}}
{{{2=(-3/4)+b}}}
{{{11/4=b}}}
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The equation:
{{{y=(-1/4)x+(11/4)}}}
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Convert to general form:
{{{4y=-x+11}}}
{{{x+4y-11=0}}}
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