# Graph 2x-3y+12=0 2x-3y+12=0
Solve for y.
Move all terms not containing y to the right side of the equation.
Subtract 2x from both sides of the equation.
-3y+12=-2x
Subtract 12 from both sides of the equation.
-3y=-2x-12
-3y=-2x-12
Divide each term by -3 and simplify.
Divide each term in -3y=-2x-12 by -3.
-3y-3=-2x-3+-12-3
Cancel the common factor of -3.
Cancel the common factor.
-3y-3=-2x-3+-12-3
Divide y by 1.
y=-2x-3+-12-3
y=-2x-3+-12-3
Simplify each term.
Dividing two negative values results in a positive value.
y=(2)x3+-12-3
Divide -12 by -3.
y=2×3+4
y=2×3+4
y=2×3+4
y=2×3+4
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=23
b=4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 23
y-intercept: 4
Slope: 23
y-intercept: 4
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)=2(0)3+4
Simplify the result.
Multiply 2 by 0.
f(0)=03+4
Divide 0 by 3.
f(0)=0+4
Add 0 and 4.
f(0)=4
The final answer is 4.
4
4
The y value at x=0 is 4.
y=4
y=4
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+4
Simplify the result.
Multiply 2 by 3.
f(3)=63+4
Divide 6 by 3.
f(3)=2+4
Add 2 and 4.
f(3)=6
The final answer is 6.
6
6
The y value at x=3 is 6.
y=6
y=6
Create a table of the x and y values.
xy0436
xy0436
Graph the line using the slope and the y-intercept, or the points.
Slope: 23
y-intercept: 4
xy0436
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