2x - 3y = 18
First, you want to isolate y.
You do this by firstly subtracting 2x from both sides.
-3y = 18 - 2x
Then you divide both sides by -3.
y = (18 - 2x)/3
You now have your function. With this you can plug in x variables to find points. I’m going to use the variables: 0, 8, -2, and 1
If x = 0 : (18 - 2 * 0)/3 = (18 - 0)/3 = 18/3 = 6
First point: (0, 6)
If x = 8 : (18 - 2 * 8)/3 = (18 - 16)/3 = 3/3 = 1
Second point: (8, 1)
If x = -2 : (18 - 2 * -2)/3 = (18 + 4)/3 = 22/3
Third point: ( -2, 22/3)
Note: to make that easier to plot, change the fraction into a mixed number- so it would be 7 and 1/3
If x = 1 : (18 - 2 * 1)/3 = (18 - 2)/3 = 16/3
Fourth point: (1, 16/3)
Note: the mixed number would be 5 and 1/3
You can choose whatever x variables you want. I just choose some that would result in a whole number or a number that wouldn’t be too large - which can make it difficult to plot sometimes. For the future, some good go-to x variables are just -1, 0, 1, and 2. Just cause they’re easy numbers.
