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Mathematics 13 Online
OpenStudy (anonymous):

which of the following is the equation of a line y=(-3/2)x+4 perpendicular to point 3,9

OpenStudy (anonymous):

OpenStudy (zzr0ck3r):

a line cant be perpendicular to a point

OpenStudy (zzr0ck3r):

you mean perpendicular to a line y = ..... that passes through (3,9)

OpenStudy (anonymous):

@zzr0ck3r yes thats what i ment typo

OpenStudy (zzr0ck3r):

we still need the other line....

OpenStudy (anonymous):

LEt me restate Which of the following is the equation of a line perpendicular to the line y=(-3/2)x+4, passing through the point (3,9) @zzr0ck3r

OpenStudy (zzr0ck3r):

there we go

OpenStudy (zzr0ck3r):

ok if a line is perpendicular to \(y=\frac{-3}{2}x=4\) then it is of the form \(y=\frac{2}{3}x+b\) because it will have the negative reciprocal of the lines slope as a slope. now we plug in the point \((3,9)\) to find the value of \(b\). \(9=\frac{2}{3}*3+b\) solve for \(b\) and you are done.

OpenStudy (zzr0ck3r):

that should say "if a line is perpendicular to the line \(y=\frac{-3}{2}x+4\)"

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