14. For the function rule y = -2x - 3, provide the x-y coordinates of the y-intercept and the x-intercept. Show your work.

- anonymous

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- LynFran

to find the x coordinate we let y=0
likewise, to find the y coordinate we let x=0

- LynFran

so, y=-2(0)-3
and 0=-2x-3..just solve to get the respective coordinates

- LynFran

y=-3
-2x-3=0,
-2x=-3
x=-3/-2
x=3/2

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- LynFran

understand?

- anonymous

Sorry i went to the bathroom ^ ^;

- LynFran

ok...

- LynFran

so what are the x intercept as in (x,y)...
and the y intercept as in (x,y) coordinates

- anonymous

1,2,3 for x
and y is 5, 7, 9?

- LynFran

no...please read my 3rd comment

- anonymous

Alright.

- LynFran

ok lets go over x.. intercept

- anonymous

y = -2, 0, 3
x 0 = - 2x -3.

- LynFran

when we want to find the x intercept of a function we let y=0 ie (x,0)
im change the function and replacing it with y=5x-5 ok as and example
so, 0=5x-5..we replace y and put 0
we now solve for x
5x-5=0
5x-5+5=+5
5x=5
we then divide both sides of the equation by 5 to solve for x
5x/5=5/5
x=1..

- anonymous

Alright thanks. Do i need to make a graph?

- LynFran

not always only if the question ask you to...so our x intercept for the given example would be (1,0)

- anonymous

Alright. Thanks a lot you'r a self savor :)

- LynFran

do u understand the y intecept part...if not i will go it over ok

- anonymous

It intercepts at 0 right?

- LynFran

we let the x intercept =0 ie (0,y) and we solve for y...what would be the y intercept for the given example i just give?

- LynFran

this one y=5x-5

- anonymous

x is equal to 0?

- LynFran

yes we let x=o and solve for y
y=5(0)-5

- anonymous

Wouldn't that be 0 too?

- LynFran

no

- LynFran

y=5*0-5
y=0-5
y=-5

- anonymous

Okay. Think i got it now 5*0 = 0 and 0 subtracted by -5 is just negative 5.

- anonymous

-5*

- LynFran

yes now put it in coordinate form..(x,y) we get..

- anonymous

x= 0 and y= -5

- LynFran

very good (0,-5)

- anonymous

Thanks. I suck at math. XD

- LynFran

no problem but remember that was the intercepts for the example i give not for the problem you give ok

- anonymous

Yeah totally understand. That's why i try in solve them before i post them unless i really have no clue where to start.

- LynFran

ok just to note also in the case of sketching a graph..the x intercept is where the line/curve cuts the x axis on the graph...and the y intercept is where the line/curve cuts the y axis on the graph.

- anonymous

Alright kool.

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