anonymous
  • 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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • 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
  • anonymous
i get -2y=-3/-2x-9/-2 correct
anonymous
  • anonymous
then my final answer should be y=-3/-2x-3 correct

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anonymous
  • 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
  • anonymous
sorry I messed that up hang on a second
anonymous
  • anonymous
oops 3/2x+9/2
anonymous
  • anonymous
and okay
anonymous
  • anonymous
yeah so it should be (-3x+9)/-2 which is \[\frac{ 3 }{ 2 }x-\frac{ 9 }{ 2 }\]
anonymous
  • anonymous
okay and the final answer should be y=-3/2x-3 or y=-2/3x-3?
anonymous
  • anonymous
@heradog ya there lol
anonymous
  • anonymous
sorry trying to do one of mine. yes y=-2/3x-3
anonymous
  • 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
  • anonymous
and they give you the y intercept of -3 or b
anonymous
  • anonymous
thanks herdog
anonymous
  • anonymous
no problem

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