# Graph 2x-3y-2

2x-3y-2
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-2=-2x
Add 2 to both sides of the equation.
-3y=-2x+2
-3y=-2x+2
Divide each term by -3 and simplify.
Divide each term in -3y=-2x+2 by -3.
-3y-3=-2x-3+2-3
Cancel the common factor of -3.
Cancel the common factor.
-3y-3=-2x-3+2-3
Divide y by 1.
y=-2x-3+2-3
y=-2x-3+2-3
Simplify each term.
Dividing two negative values results in a positive value.
y=(2)x3+2-3
Move the negative in front of the fraction.
y=2×3-23
y=2×3-23
y=2×3-23
y=2×3-23
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=-23
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 23
y-intercept: -23
Slope: 23
y-intercept: -23
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)=2(1)3-23
Simplify the result.
Reorder terms.
f(1)=1⋅23-23
Combine the numerators over the common denominator.
f(1)=1⋅2-23
Simplify the numerator.
Multiply 1 by 2.
f(1)=2-23
Subtract 2 from 2.
f(1)=03
f(1)=03
Divide 0 by 3.
f(1)=0
The final answer is 0.
0
0
The y value at x=1 is 0.
y=0
y=0
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)3-23
Simplify the result.
Reorder terms.
f(0)=0⋅23-23
Combine the numerators over the common denominator.
f(0)=0⋅2-23
Simplify the numerator.
Multiply 0 by 2.
f(0)=0-23
Subtract 2 from 0.
f(0)=-23
f(0)=-23
Move the negative in front of the fraction.
f(0)=-23
The final answer is -23.
-23
-23
The y value at x=0 is -23.
y=-23
y=-23
Create a table of the x and y values.
xy0-2310
xy0-2310
Graph the line using the slope and the y-intercept, or the points.
Slope: 23
y-intercept: -23
xy0-2310
Graph 2x-3y-2

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