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s2008m [1.1K]
3 years ago
11

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

Mathematics
1 answer:
RoseWind [281]3 years ago
6 0
Perpendicular means opposite and reciprocal (in reference to the slope). 
The opposite of 1/2 is -1/2. The reciprocal of -1/2 is -2.

Now we know the slope we can plug the point they gave us into the X and Y positions to solve for b (in the point (2, 3) there is a X - Value (2) and a Y-value (3)

y= -2x+b
3= -2(2)+b
3= -4+b
1=b

Now we plug b and the slope in the generic y=mx+b equation:
y= -2x+1
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NikAS [45]

<LMP and <NMP are supplementary angles so sum = 180

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Answer

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