# Graph -3y=x-6

-3y=x-6
Divide each term by -3 and simplify.
Divide each term in -3y=x-6 by -3.
-3y-3=x-3+-6-3
Cancel the common factor of -3.
Cancel the common factor.
-3y-3=x-3+-6-3
Divide y by 1.
y=x-3+-6-3
y=x-3+-6-3
Simplify each term.
Move the negative in front of the fraction.
y=-x3+-6-3
Divide -6 by -3.
y=-x3+2
y=-x3+2
y=-x3+2
Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Find the values of m and b using the form y=mx+b.
m=-13
b=2
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -13
y-intercept: 2
Slope: -13
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 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=-03+2
Simplify the result.
Simplify each term.
Divide 0 by 3.
f(0)=-0+2
Multiply -1 by 0.
f(0)=0+2
f(0)=0+2
f(0)=2
2
2
The y value at x=0 is 2.
y=2
y=2
Choose 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=-33+2
Simplify the result.
Simplify each term.
Divide 3 by 3.
f(3)=-1⋅1+2
Multiply -1 by 1.
f(3)=-1+2
f(3)=-1+2
f(3)=1
1
1
The y value at x=3 is 1.
y=1
y=1
Create a table of the x and y values.
xy0231
xy0231
Graph the line using the slope and the y-intercept, or the points.
Slope: -13
y-intercept: 2
xy0231
Graph -3y=x-6