Question

draw the graph of a function 2x-3y=9

Answer 1

put into slope intercept form. which is y = 2/3x - 3. one point is the y intercept at (0, -3). from that point go up two points, to the right 3 points (from the slope 2/3x) and put a point there. then draw a srtaight line betwene the points.

Answer 2

2x-3y=9
-3y=2x-9
y=2/3x-3 <=== graph that

Answer 3

We need to solve for y.
2x - 3y = 9
2x - 3y - 2x = 9 - 2x
-3y = 9 - 2x
Multiply by -1 across
-(-3y) = -9 + 2x
3y = -9 + 2x
Divide through by 3
y = -3 + 2/3x
Rearrange:
y = 2/3x - 3
Now plot in values for x. Typically use like x = -5 up to x = 5.
This will give you the graph.
Hope this helps!

Answer 4

should i put values for x and also for y?

Answer 5

Just put in a value for x and that will give you a value for y.
Then you have the ordered pair (x,y).
For instance take x = 2
y = 2/3(2) - 3
y = 4/3 - 3
y = 4/3 - 9/3
y = -5/3
This gives us:
(2,-5/3)
We can rewrite y = 2/3x-3 as f(x)=2/3x - 3
This means y is a function of x.
Hope this clarifies a bit.