2x-3y-2

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

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

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