Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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
\[-\frac{ 3 }{ 2 }x+\frac{ 9 }{ 2 }\]

Answer 5

sorry I messed that up hang on a second

Answer 6

oops 3/2x+9/2

Answer 7

and okay

Answer 8

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

Answer 9

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

Answer 10

@heradog ya there lol

Answer 11

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

Answer 12

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)

Answer 13

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

Answer 14

thanks herdog

Answer 15

no problem