Question

Graph - 9x + 6y = 18 using linear standard form

Answer 1

The graph is attached Below and the plotting is given below.

Explanation:

Given:

-9x + 6y = 18

Solution:

To draw a line on a graph the required minimum two points but here we will have three points as point A, point B, and point C.

For point A

Put x = -4 in the given equation we get

-9×-4 + 6y = 18

6y = 18-36

∴
`y=(-18)/(3)\\ \\y=-3`

∴ Point A ≡ ( -4, -3 ).

For point B

Put x = -2 in the given equation we get

-9×-2 + 6y = 18

6y = 18 - 18

6y = 0

∴
`y=(0)/(3)\\ \\y=0`

∴ Point B ≡ ( -2, 0 ).

For point C

Put x = 0 in the given equation we get

-9×0 + 6y = 18

6y = 18

∴
`y=(18)/(3)\\ \\y=3`

∴ Point C ≡ ( 0, 3 ).

Now we have Point A ,B and C join it and you will have Line.