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.
