Question

sketch the graph of each equation:
x^2 + y^2 = 36

Answer 1

How should I go about graphing this? Should I get y on one side and create a chart of points?

Answer 2

@inkyvoyd could you help me?

Answer 3

What grade are you in?

Answer 4

11th

Answer 5

Oh Okay XD I would help, but your way up there!! I am still trailin 9th going into 10th

Answer 6

I apologize, forgive me

Answer 7

I'm taking a 12th/college level course

Answer 8

You're fine. @PokieOkie

Answer 9

Alright somebody should help you! Take care of yourself! Have a wonderfully blessed and safe week!

Answer 10

@sammixboo could you help?

Answer 11

\[x^2 + y^2 = 36\]

Answer 12

standard form for a circle with center \((h,k)\) and radius \(r\) is \[(x-h)^2+(y-k)^2=r^2\]by pythagoas

Answer 13

in your case \((h,k)=(0,0)\) so the center is at the origin

Answer 14

Oh.. I didn't even think about it like that

Answer 15

and here \(r^2=36\)

Answer 16

So what would x and y be?

Answer 17

just variables?

Answer 18

or a given point?

Answer 19

One way is to isolate y to get two separate equations. Graph each equation using a T chart.

After you've got your graphs set up, you can use something like desmos to check your work

https://www.desmos.com/calculator

I recommend doing the work by hand first, then use technology to check afterward

Answer 20

or you can use @satellite73 's method to recognize that it's a form of a circle. And use the properties of a circle (center and radius) to plot the graph

Answer 21

That's how I thought about approaching it, but @satellite73 's approach is what I believe my book is wanting me to do

Answer 22

ok then yeah use the second method