## anonymous 3 years ago 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

1. 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

2. anonymous

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

3. anonymous

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

4. 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 $-\frac{ 3 }{ 2 }x+\frac{ 9 }{ 2 }$

5. anonymous

sorry I messed that up hang on a second

6. anonymous

oops 3/2x+9/2

7. anonymous

and okay

8. anonymous

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

9. anonymous

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

10. anonymous

@heradog ya there lol

11. anonymous

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

12. 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)

13. anonymous

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

14. anonymous

thanks herdog

15. anonymous

no problem