3x+2y=8. ???.........i can do this in my head but my teacher wants us to find the two coordintes and show work

Question

need help with this.
i can do this in my head.
but teacher want us to show work.
need to find two numbers.
the long way. show me how oyu got it.

the answer in the textbook is

(0,4) and (2,1)

but everyone is sating (0,4) and (8/3,4) or something liket hat.

Answer 1

I would try x = 0, solve for y.
Then try y = 0, solve for x.

3x + 2y = 8
3(0) + 2y = 8
2y = 8
y = 4
So one point is (0, 4)

3x + 2(0) = 8
3x = 8
x = 8/3
So (8/3, 0) is another point.

Answer 2

I'll assume your teacher is asking for y and x intercepts.
For x = 0
2y = 8 or y = 4 and the y-intercept is (0,4)
For y = 0
3x = 8 or x = 8/3 and the x-intercept is (8/3 , 0)

Answer 3

3x+2y=8
-3x -3x
__________
2y=-3x+8
divide both sides by 2

y=-3/2x + 4

4 is the y coordinate so (0,4)

and a bunch of other stuff but i can do it the Algebra II way better

you just put in zeros

3x+2y=8

to find the x coordinate you would put in a zero for the y

3x+2(0)=8
3x=8
divide both sides by 3

x= 2.67 or 8/3

to find the y coordinate you would do the same thing just put a zero in for x instead

(2.67,0) or (8/3,0) for x coordinate

Answer 4

There are two variables. Choose a value for x, plug it in, solve for y. If you are supposed to draw a graph of the values, do this several times and plot each point on the graph. You'll see a straight line come out, if you do it right.

Easier: solve the whole thing for y in the form y = .... then it's a lot easier to plug in x.