Answer:
So you will want to graph the following 3 points:
(0,2)
(3,3)
(-3,1)
Then connect the points.
Explanation:
So we have the equation x-3y=-6.
I'm going to solve for y once so I don't have to do it 3 times when choosing a value for x.
x-3v=-6
Subtract x on both sides:
-3y=-x-6
Divide both sides by -3:
4 =
= + =
6
Simplify where you can:
y = =a +2
So since this in the slope-intercept form, y=mxtb where slope is m and b is y-intercept we have that (0,2) is on our line. If you plug in 0, you will get 2 like this y=1/3 (0)+2=0+2=2.
Now I'm going to choose easy values to plug in, ones that are divisible by 3 since × is being multiplied by 1/3.
So if x=3, then V = =(3) + 2 = 1 + 2 = 3
, so (3,3) is on the line.
so if x=-3, then y = #(-3) +2=-1 + 2 = 1. so
(-3,1) is on the line. So you will want to graph the following 3 points:
(0,2)
(3,3)
(-3,1)