Question

y=-(2/3)x+30 trying to find x and y intercept

Answer 1

x-intercept: plug in y=0 and solve for x

y=-(2/3)x+30

0=-(2/3)x+30

-30=-(2/3)x

-30*3=-2x

-90=-2x

-90/(-2)=x

45=x

x=45

So the x-intercept is (45,0)

--------------------

y-intercept: plug in x=0 and solve for y

y=-(2/3)x+30

y=-(2/3)(0)+30

y=0+30

y=30

So the y-intercept is (0,30)

Answer 2

thanks

Answer 3

when solving for y=-(2/3)x+30....you did you get -30*3?

Answer 4

not sure what you mean, are you referring to my 4th step?

Answer 5

yes

Answer 6

in going from

-30=-(2/3)x

to

-30*3=-2x


I multiplied both sides by 3. Why? Because on the right side we're dividing by 3. So we undo that to solve for x by multiplying both sides by 3.

Answer 7

sorry could you go one step back ? how did you get the -30 in front of the = sign. I'm horrible in math!

Answer 8

I went from

0=-(2/3)x+30

to

-30=-(2/3)x

by subtracting 30 from both sides

Answer 9

why?

Answer 10

because I want to solve for x

Answer 11

ie get x on one side all by itself

Answer 12

OH! thats right you want X by it self correct?

Answer 13

exactly

Answer 14

WOW! Thanks alot just got it!

Answer 15

yw

Answer 16

sorry one more question? why did you multiply 3to -30 in -(2/3) why the 3?

Answer 17

because /3 means "divide by 3". So undo that and solve for x, we multiply both sides by 3

Answer 18

so what is it doesn't divide evenly?

Answer 19

that part doesn't matter. All I want to do is move that 3 to the other side and I do so by multiplying both sides by 3

Answer 20

k. thanks