Lines p and q are parallel. line p is described by the equation 3x-4y=9. line n contains the point(3,-6). which of the following is an equation for line n A. y=-4/3x-3
B. y=-2/3x+3
C. y=-3/4x+3
D. y= -3/4x-3

its electric no smoke

step-by-step explanation:

this is a very good question

step-by-step explanation:

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4