Answer:
The graph is attached Below and the plotting is given below.
Step-by-step 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
∴ [tex]y=\frac{-18}{3}\\ \\y=-3[/tex]
∴ 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
∴ [tex]y=\frac{0}{3}\\ \\y=0[/tex]
∴ Point B ≡ ( -2, 0 ).
For point C
Put x = 0 in the given equation we get
-9×0 + 6y = 18
6y = 18
∴ [tex]y=\frac{18}{3}\\ \\y=3[/tex]
∴ Point C ≡ ( 0, 3 ).
Now we have Point A ,B and C join it and you will have Line.
