Question

3x-6y=6 ....graph the linear function by finding x and y intercepts. do i just substitute x and y for 0? i don't understand. thanks for any help!!

Answer 1

Well, I think the easiest way would be to put the equation in slope intercept form. (y = mx + b), can you get y by itself?

Answer 2

Yes. -6y=-3x+6

Answer 3

Ok, now get y completely by itself. Divide everything by -6.

Answer 4

would it be y=3/6x-1?

Answer 5

Perfect. 3/6 = 1/2. Reduce your fractions ;)

Answer 6

So in slope intercept form the "b" part is the y-intercept. Because when x is 0, you can see the (1/2x) just goes away completely. So what's the y-intercept?

Answer 7

-1?

Answer 8

You got it.

Answer 9

So to find the x-intercept. Set y = 0. Then solve for x.
0 = (1/2)x - 1

Answer 10

you set y for 0 in the original problem?

Answer 11

No, set 0 in for y in the "slope intercept" form.

Answer 12

ok

Answer 13

so the slope is 1/2 and the y is -1?

Answer 14

one more question. how do you write the equation by using function notation?

Answer 15

In this sense, y is the same as f(x)

So simply: f(x) = (1/2)x - 1

I want to be sure you found the x-intercept.

Answer 16

okay i got it. thank you! that was the write answer.

Answer 17

Ok, good deal.

Answer 18

thanks again for all the help!!!!! See ya!

Answer 19

No problem.