2x-3y=-20

Subtract 2x from both sides of the equation.

-3y=-20-2x

Divide each term by -3 and simplify.

Divide each term in -3y=-20-2x by -3.

-3y-3=-20-3+-2x-3

Cancel the common factor of -3.

Cancel the common factor.

-3y-3=-20-3+-2x-3

Divide y by 1.

y=-20-3+-2x-3

y=-20-3+-2x-3

Simplify each term.

Dividing two negative values results in a positive value.

y=203+-2x-3

Dividing two negative values results in a positive value.

y=203+2×3

y=203+2×3

y=203+2×3

y=203+2×3

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Reorder 203 and 2×3.

y=2×3+203

Rewrite in slope-intercept form.

y=23x+203

y=23x+203

Find the values of m and b using the form y=mx+b.

m=23

b=203

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 23

y-intercept: 203

Slope: 23

y-intercept: 203

Choose 2 to substitute in for x to find the ordered pair.

Replace the variable x with 2 in the expression.

f(2)=2(2)3+203

Simplify the result.

Multiply 2 by 2.

f(2)=43+203

Combine the numerators over the common denominator.

f(2)=4+203

Add 4 and 20.

f(2)=243

Divide 24 by 3.

f(2)=8

The final answer is 8.

8

8

The y value at x=2 is 8.

y=8

y=8

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+203

Simplify the result.

Multiply 2 by 0.

f(0)=03+203

Combine the numerators over the common denominator.

f(0)=0+203

Add 0 and 20.

f(0)=203

The final answer is 203.

203

203

The y value at x=0 is 203.

y=203

y=203

Create a table of the x and y values.

xy020328

xy020328

Graph the line using the slope and the y-intercept, or the points.

Slope: 23

y-intercept: 203

xy020328

Graph 2x-3y=-20