# Graph 3x-3y=6

3x-3y=6
Solve for y.
Subtract 3x from both sides of the equation.
-3y=6-3x
Divide each term by -3 and simplify.
Divide each term in -3y=6-3x by -3.
-3y-3=6-3+-3x-3
Cancel the common factor of -3.
Cancel the common factor.
-3y-3=6-3+-3x-3
Divide y by 1.
y=6-3+-3x-3
y=6-3+-3x-3
Simplify each term.
Divide 6 by -3.
y=-2+-3x-3
Cancel the common factor of -3.
Cancel the common factor.
y=-2+-3x-3
Divide x by 1.
y=-2+x
y=-2+x
y=-2+x
y=-2+x
y=-2+x
Rewrite in slope-intercept form.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Reorder -2 and x.
y=x-2
y=x-2
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y=mx+b.
m=1
b=-2
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 1
y-intercept: -2
Slope: 1
y-intercept: -2
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=(1)-2
Simplify the result.
Subtract 2 from 1.
f(1)=-1
-1
-1
The y value at x=1 is -1.
y=-1
y=-1
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=(0)-2
Simplify the result.
Subtract 2 from 0.
f(0)=-2
-2
-2
The y value at x=0 is -2.
y=-2
y=-2
Create a table of the x and y values.
xy0-21-1
xy0-21-1
Graph the line using the slope and the y-intercept, or the points.
Slope: 1
y-intercept: -2
xy0-21-1
Graph 3x-3y=6