# Graph 4x-6y=36

4x-6y=36
Solve for y.
Subtract 4x from both sides of the equation.
-6y=36-4x
Divide each term by -6 and simplify.
Divide each term in -6y=36-4x by -6.
-6y-6=36-6+-4x-6
Cancel the common factor of -6.
Cancel the common factor.
-6y-6=36-6+-4x-6
Divide y by 1.
y=36-6+-4x-6
y=36-6+-4x-6
Simplify each term.
Divide 36 by -6.
y=-6+-4x-6
Cancel the common factor of -4 and -6.
Factor -2 out of -4x.
y=-6+-2(2x)-6
Cancel the common factors.
Factor -2 out of -6.
y=-6+-2(2x)-2(3)
Cancel the common factor.
y=-6+-2(2x)-2⋅3
Rewrite the expression.
y=-6+2×3
y=-6+2×3
y=-6+2×3
y=-6+2×3
y=-6+2×3
y=-6+2×3
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 -6 and 2×3.
y=2×3-6
Rewrite in slope-intercept form.
y=23x-6
y=23x-6
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=23
b=-6
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 23
y-intercept: -6
Slope: 23
y-intercept: -6
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 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=2(3)3-6
Simplify the result.
Multiply 2 by 3.
f(3)=63-6
Divide 6 by 3.
f(3)=2-6
Subtract 6 from 2.
f(3)=-4
The final answer is -4.
-4
-4
The y value at x=3 is -4.
y=-4
y=-4
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=2(0)3-6
Simplify the result.
Multiply 2 by 0.
f(0)=03-6
Divide 0 by 3.
f(0)=0-6
Subtract 6 from 0.
f(0)=-6
The final answer is -6.
-6
-6
The y value at x=0 is -6.
y=-6
y=-6
Create a table of the x and y values.
xy0-63-4
xy0-63-4
Graph the line using the slope and the y-intercept, or the points.
Slope: 23
y-intercept: -6
xy0-63-4
Graph 4x-6y=36

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