A line through which two points would be perpendicular to the line y = 2/3x - 5/2? A. (–4, 3) and (–2, –6) B. (–4, –3) and (2, 6) C. (–4, 3) and (2, –6) D. (4, –3) and (2, 6)

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A line through which two points would be perpendicular to the line y = 2/3x - 5/2? A. (–4, 3) and (–2, –6) B. (–4, –3) and (2, 6) C. (–4, 3) and (2, –6) D. (4, –3) and (2, 6)

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\[y = \frac{ 2 }{ 3 }x - \frac{ 5 }{ 2 }\]
can you tell me the slope of y = 2/3x - 5/2 ?
In y = mx + b form, the slope will be the number in the m position. Can you tell me the slope now ?

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|dw:1433342536124:dw| My drawing sucks but 3/1 I think
watch this.... y = mx + b y = (2/3)x - 5/2 the number in the m position is the slope...so the slope is 2/3 are you still following how I got that ?
Yes
but we are looking for a perpendicular line...so we need the negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular slope has to be -3/2......see how I flipped the slope and changed the sign ? Understand so far ?
Yup, reciprocals were always the easiest thing for me XD
don't forget about changing the sign.... so our answer has to have a slope of -3/2 do you know how to find the slopes of your answer choices ?
Do the same thing as you did with the question ?? Or do I do it normally
There is a formula...yes, like there wasn't enough already...probably a zillion formulas...anyways, the formula is : slope = (y2 - y1) / (x2 - x1) do you want me to show you how to label your points and find the slope ?
I think I got it So like for answer A. It'd be m = (y2-y1) / (x2 - x1) m = (-6 - 3) / (-2 - 2) ??
almost...pay close attention to your numbers and signs (-4,3) and (-2, -6) slope = (-6 - 3) / (-2 -(-4)
so for A.. slope = (-6 - 3) / (-2 - (-4) slope = -9/ (-2 + 4) slope = -9/2........we need a slope of -3/2,,,so this is not correct
so -6 - 3 = -9 -2 - -4 = 2 m = -9/2
that is the slope of those points...but we need a slope of -3/2...so thats not it
We were thinking the same thing lol. Anyway so for Answer B. (6 - (-3) / (2 - (-4) 6 - -3 = 9 2 - -4 = 6 9/6 so that one is incorrect too
(-4,-3) / (2,6) slope is 9/6...but that reduces...what does that reduce to ?
3/2 or 1 1/2
it reduces to 3/2...but we need -3/2....so this is not correct
gotta watch for those stupid signs...they will mess with your head...lol
C. (-6 - 3) / (2 - (-4) -6 - 3 = -9 2 - -4 = 6 -9/6 reduce -3/2
So C is correct ?
(-4,3) / (2,-6) ... (-6 - 3) / (2 - (-4) -9/6 reduces to -3/2......yep...you got it...WAY TO GO giving you a medal..you deserve it :)
Thanks for the help ^^
anytime...as long as its not geometry...not so good at that :)
I'm pretty good in geometry XD It's algebra I suck at
I am kinda the opposite....can handle algebra pretty well...just know about the basics in geometry

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