# Graph x-3y+6=0 x-3y+6=0
Solve for y.
Move all terms not containing y to the right side of the equation.
Subtract x from both sides of the equation.
-3y+6=-x
Subtract 6 from both sides of the equation.
-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.
Dividing two negative values results in a positive value.
y=x3+-6-3
Divide -6 by -3.
y=x3+2
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.
Divide 0 by 3.
f(0)=0+2
Add 0 and 2.
f(0)=2
The final answer is 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
Add 1 and 2.
f(3)=3
The final answer is 3.
3
3
The y value at x=3 is 3.
y=3
y=3
Create a table of the x and y values.
xy0233
xy0233
Graph the line using the slope and the y-intercept, or the points.
Slope: 13
y-intercept: 2
xy0233
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