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- anonymous

write an equation in slope-intercept form of the line whose y-intercept is -3 and the line is perpendicular line whose equation is 3x-2y=9 what is the slope intercept form?
i need step by step help please

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- anonymous

- katieb

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- anonymous

slope intercept form means y=mx+n
m is the slope n the y-intercept
n=-3
you still need m
you know that if 2 lines are perpendicular ,the product of their slopes is -1
first thing now is to determine the slope of 3x-2y=9

- anonymous

i get -2y=-3/-2x-9/-2 correct

- anonymous

then my final answer should be y=-3/-2x-3 correct

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- anonymous

if you have 2y=-3x+9
then divide all by 2
you get either y=(-3/2)x+(9/2) or you can factor to 3(x-3)/2
\[\frac{ 3(x-3)}{ 2}\]
I prefer the first one which would look like
\[-\frac{ 3 }{ 2 }x+\frac{ 9 }{ 2 }\]

- anonymous

sorry I messed that up hang on a second

- anonymous

oops 3/2x+9/2

- anonymous

and okay

- anonymous

yeah so it should be (-3x+9)/-2
which is
\[\frac{ 3 }{ 2 }x-\frac{ 9 }{ 2 }\]

- anonymous

okay and the final answer should be y=-3/2x-3 or y=-2/3x-3?

- anonymous

@heradog ya there lol

- anonymous

sorry trying to do one of mine.
yes y=-2/3x-3

- anonymous

because your perpendicular line is a negative reciprocal of the original one
so the original was (3/2) and the negative reciprocal is (-2/3)

- anonymous

and they give you the y intercept of -3 or b

- anonymous

thanks herdog

- anonymous

no problem

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