# Graph 6x-12y-36=0 6x-12y-36=0
Solve for y.
Move all terms not containing y to the right side of the equation.
Subtract 6x from both sides of the equation.
-12y-36=-6x
Add 36 to both sides of the equation.
-12y=-6x+36
-12y=-6x+36
Divide each term by -12 and simplify.
Divide each term in -12y=-6x+36 by -12.
-12y-12=-6x-12+36-12
Cancel the common factor of -12.
Cancel the common factor.
-12y-12=-6x-12+36-12
Divide y by 1.
y=-6x-12+36-12
y=-6x-12+36-12
Simplify each term.
Cancel the common factor of -6 and -12.
Factor -6 out of -6x.
y=-6(x)-12+36-12
Cancel the common factors.
Factor -6 out of -12.
y=-6(x)-6(2)+36-12
Cancel the common factor.
y=-6x-6⋅2+36-12
Rewrite the expression.
y=x2+36-12
y=x2+36-12
y=x2+36-12
Divide 36 by -12.
y=x2-3
y=x2-3
y=x2-3
y=x2-3
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=12
b=-3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 12
y-intercept: -3
Slope: 12
y-intercept: -3
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 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=22-3
Simplify the result.
Divide 2 by 2.
f(2)=1-3
Subtract 3 from 1.
f(2)=-2
-2
-2
The y value at x=2 is -2.
y=-2
y=-2
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=02-3
Simplify the result.
Divide 0 by 2.
f(0)=0-3
Subtract 3 from 0.
f(0)=-3
-3
-3
The y value at x=0 is -3.
y=-3
y=-3
Create a table of the x and y values.
xy0-32-2
xy0-32-2
Graph the line using the slope and the y-intercept, or the points.
Slope: 12
y-intercept: -3
xy0-32-2
Graph 6x-12y-36=0     