# Graph 12x-3y=18 12x-3y=18
Solve for y.
Subtract 12x from both sides of the equation.
-3y=18-12x
Divide each term by -3 and simplify.
Divide each term in -3y=18-12x by -3.
-3y-3=18-3+-12x-3
Cancel the common factor of -3.
Cancel the common factor.
-3y-3=18-3+-12x-3
Divide y by 1.
y=18-3+-12x-3
y=18-3+-12x-3
Simplify each term.
Divide 18 by -3.
y=-6+-12x-3
Cancel the common factor of -12 and -3.
Factor -3 out of -12x.
y=-6+-3(4x)-3
Cancel the common factors.
Factor -3 out of -3.
y=-6+-3(4x)-3(1)
Cancel the common factor.
y=-6+-3(4x)-3⋅1
Rewrite the expression.
y=-6+4×1
Divide 4x by 1.
y=-6+4x
y=-6+4x
y=-6+4x
y=-6+4x
y=-6+4x
y=-6+4x
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 4x.
y=4x-6
y=4x-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=4
b=-6
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 4
y-intercept: -6
Slope: 4
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 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=4(1)-6
Simplify the result.
Multiply 4 by 1.
f(1)=4-6
Subtract 6 from 4.
f(1)=-2
The final answer is -2.
-2
-2
The y value at x=1 is -2.
y=-2
y=-2
Choose 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=4(2)-6
Simplify the result.
Multiply 4 by 2.
f(2)=8-6
Subtract 6 from 8.
f(2)=2
The final answer is 2.
2
2
The y value at x=2 is 2.
y=2
y=2
Create a table of the x and y values.
xy1-222
xy1-222
Graph the line using the slope and the y-intercept, or the points.
Slope: 4
y-intercept: -6
xy1-222
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