# Graph 3x+9y-12=0 3x+9y-12=0
Solve for y.
Move all terms not containing y to the right side of the equation.
Subtract 3x from both sides of the equation.
9y-12=-3x
Add 12 to both sides of the equation.
9y=-3x+12
9y=-3x+12
Divide each term by 9 and simplify.
Divide each term in 9y=-3x+12 by 9.
9y9=-3×9+129
Cancel the common factor of 9.
Cancel the common factor.
9y9=-3×9+129
Divide y by 1.
y=-3×9+129
y=-3×9+129
Simplify each term.
Cancel the common factor of -3 and 9.
Factor 3 out of -3x.
y=3(-x)9+129
Cancel the common factors.
Factor 3 out of 9.
y=3(-x)3(3)+129
Cancel the common factor.
y=3(-x)3⋅3+129
Rewrite the expression.
y=-x3+129
y=-x3+129
y=-x3+129
Move the negative in front of the fraction.
y=-x3+129
Cancel the common factor of 12 and 9.
Factor 3 out of 12.
y=-x3+3(4)9
Cancel the common factors.
Factor 3 out of 9.
y=-x3+3⋅43⋅3
Cancel the common factor.
y=-x3+3⋅43⋅3
Rewrite the expression.
y=-x3+43
y=-x3+43
y=-x3+43
y=-x3+43
y=-x3+43
y=-x3+43
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=43
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -13
y-intercept: 43
Slope: -13
y-intercept: 43
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)=-13+43
Simplify the result.
Combine the numerators over the common denominator.
f(1)=-1+43
Add -1 and 4.
f(1)=33
Divide 3 by 3.
f(1)=1
The final answer is 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)=-03+43
Simplify the result.
Combine the numerators over the common denominator.
f(0)=0+43
Add 0 and 4.
f(0)=43
The final answer is 43.
43
43
The y value at x=0 is 43.
y=43
y=43
Create a table of the x and y values.
xy04311
xy04311
Graph the line using the slope and the y-intercept, or the points.
Slope: -13
y-intercept: 43
xy04311
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