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# Coordinates

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Let P and Q be constants. The graphs of the lines x + 5y = 23 and 16x + Py = Q are perpendicular and intersect at the point (8,3). Enter the ordered pair (P,Q).

Apr 14, 2022

#1
+115
-4

😎😎😎

Apr 14, 2022
#2
+69
+1

why even bother to post answers if you cant solve it in the fist place

ch1ck3n  Apr 14, 2022
#4
+115
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To tell Sigh nvm why do i got to explain it to a idk 10 year older

Kakashi  Apr 14, 2022
#5
+115
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Prob 8

Kakashi  Apr 14, 2022
#6
+69
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you are being very disrespectful

ch1ck3n  Apr 14, 2022
#7
+115
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Am not i was just trying to tell the i cant solve this and u come in talking about why even bother to post answers if you cant solve it in the fist place why could u not let me be

Kakashi  Apr 14, 2022
#8
+69
+1

no one cares that ou cant solve it

ch1ck3n  Apr 14, 2022
#9
+115
-4

u talking obout me being Rude look at u being RUDEEEEE

Kakashi  Apr 14, 2022
#3
+69
+1

Apr 14, 2022
#15
+69
+1

actually its wrong

ch1ck3n  Apr 14, 2022
#11
+115
-2

STPPPPPPPPPPPPPPP

Apr 14, 2022
#12
+115
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TAKING AWAY MY LIKES

Kakashi  Apr 14, 2022
#13
+115
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PlsSSSSS

Kakashi  Apr 14, 2022
#14
+69
0

wow...

ch1ck3n  Apr 14, 2022
#16
+115
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????????

Kakashi  Apr 14, 2022
#17
+115
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i left for 10 min and ws hoping u was going to be Goneeee😮‍💨😮‍💨😞😮‍💨

Kakashi  Apr 14, 2022
#18
+1

Slope of first line = - 1/5    perpindicular is = 5

16x + py = q        slope =   -16/p = 5    p = - 16/5

16 x - 16/5 p = q       sub in the point (8,3) to find the value of Q = 118.4

Apr 14, 2022
#19
+124696
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We can write  the first line as

y  =  (-1/5)x + 23/5     Note that the slope  =  -1/5

If the second ine is perpendicular to this one, then it will have a slope of 5

So we have  that

16x + Py  = Q

Py = -16x + Q

y = (-16/P ) + Q/P

This  means  that    -16/P  = 5    so   P =  -16/5

And since   (8,3)  is on this line then

16 (8) + (-16/5)(3)  =Q

128 - 48/5  = Q

592/5  = Q

So   (P, Q)  = (-16/5, 592/5)

Apr 14, 2022
#27
+579
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Ah I knew I was close

When I was doing it I got 519/5 somehow for the y

Vinculum  Apr 14, 2022
#20
+115
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so r they wrong

Apr 14, 2022
#22
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you tell me... are the answers the same or different?

BuilderBoi  Apr 14, 2022
#26
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No it not

Kakashi  Apr 14, 2022
#21
+2532
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Because the lines are perpendicular, the other line has a slope of $$5$$.

This means that the equation is $$y = 5x + b$$

Plugging in the point (8, 3), we get: $$3= 40+b$$, meaning $$b = -37$$

Now, we have to convert $$y = 5x - 37$$ into standard form.

Subtracting $$5x$$ from both sides, we get $$-5x + y = -37$$

Multiplying the equation by $$-{16 \over 5}$$ , we get: $$16x-3.2y=118.4$$

From here, we can find the pair to be $$\color{brown}\boxed{(-3.2, 118.4)}$$

Apr 14, 2022
#23
+115
-4

S chris is wrong

Kakashi  Apr 14, 2022
#25
+2532
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No, our answers are the same... I just did mine in decimal, and Chris did his in fraction form.

BuilderBoi  Apr 14, 2022
#28
+115
-2

Ohhhhh  kk

Kakashi  Apr 14, 2022
#29
+115
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Lol Im trying so hard to at ur level

Kakashi  Apr 14, 2022
#30
+2532
+1

Keep trying!!! With hard work and determination, you will get there!!

BuilderBoi  Apr 14, 2022
#24
+115
-5

So**

Apr 14, 2022