# Graph 3x-2y=-18 3x-2y=-18
Solve for y.
Subtract 3x from both sides of the equation.
-2y=-18-3x
Divide each term by -2 and simplify.
Divide each term in -2y=-18-3x by -2.
-2y-2=-18-2+-3x-2
Cancel the common factor of -2.
Cancel the common factor.
-2y-2=-18-2+-3x-2
Divide y by 1.
y=-18-2+-3x-2
y=-18-2+-3x-2
Simplify each term.
Divide -18 by -2.
y=9+-3x-2
Dividing two negative values results in a positive value.
y=9+3×2
y=9+3×2
y=9+3×2
y=9+3×2
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 9 and 3×2.
y=3×2+9
Rewrite in slope-intercept form.
y=32x+9
y=32x+9
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=32
b=9
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 32
y-intercept: 9
Slope: 32
y-intercept: 9
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)=3(0)2+9
Simplify the result.
Multiply 3 by 0.
f(0)=02+9
Divide 0 by 2.
f(0)=0+9
Add 0 and 9.
f(0)=9
The final answer is 9.
9
9
The y value at x=0 is 9.
y=9
y=9
Choose 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=3(2)2+9
Simplify the result.
Multiply 3 by 2.
f(2)=62+9
Divide 6 by 2.
f(2)=3+9
Add 3 and 9.
f(2)=12
The final answer is 12.
12
12
The y value at x=2 is 12.
y=12
y=12
Create a table of the x and y values.
xy09212
xy09212
Graph the line using the slope and the y-intercept, or the points.
Slope: 32
y-intercept: 9
xy09212
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