# Graph -x+3y=-6 -x+3y=-6
Solve for y.
Add x to both sides of the equation.
3y=-6+x
Divide each term by 3 and simplify.
Divide each term in 3y=-6+x by 3.
3y3=-63+x3
Cancel the common factor of 3.
Cancel the common factor.
3y3=-63+x3
Divide y by 1.
y=-63+x3
y=-63+x3
Divide -6 by 3.
y=-2+x3
y=-2+x3
y=-2+x3
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 x3.
y=x3-2
Rewrite in slope-intercept form.
y=13x-2
y=13x-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=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.
Divide 0 by 3.
f(0)=0-2
Subtract 2 from 0.
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.
Divide 3 by 3.
f(3)=1-2
Subtract 2 from 1.
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.
xy0-23-1
xy0-23-1
Graph the line using the slope and the y-intercept, or the points.
Slope: 13
y-intercept: -2
xy0-23-1
Graph -x+3y=-6     