3x-2y=5

Subtract 3x from both sides of the equation.

-2y=5-3x

Divide each term by -2 and simplify.

Divide each term in -2y=5-3x by -2.

-2y-2=5-2+-3x-2

Cancel the common factor of -2.

Cancel the common factor.

-2y-2=5-2+-3x-2

Divide y by 1.

y=5-2+-3x-2

y=5-2+-3x-2

Simplify each term.

Move the negative in front of the fraction.

y=-52+-3x-2

Dividing two negative values results in a positive value.

y=-52+3×2

y=-52+3×2

y=-52+3×2

y=-52+3×2

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

y=mx+b

Reorder -52 and 3×2.

y=3×2-52

Rewrite in slope-intercept form.

y=32x-52

y=32x-52

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

m=32

b=-52

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

Slope: 32

y-intercept: -52

Slope: 32

y-intercept: -52

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=3(1)2-52

Simplify the result.

Multiply 3 by 1.

f(1)=32-52

Combine the numerators over the common denominator.

f(1)=3-52

Subtract 5 from 3.

f(1)=-22

Divide -2 by 2.

f(1)=-1

The final answer is -1.

-1

-1

The y value at x=1 is -1.

y=-1

y=-1

Choose 3 to substitute in for x to find the ordered pair.

Replace the variable x with 3 in the expression.

f(3)=3(3)2-52

Simplify the result.

Multiply 3 by 3.

f(3)=92-52

Combine the numerators over the common denominator.

f(3)=9-52

Subtract 5 from 9.

f(3)=42

Divide 4 by 2.

f(3)=2

The final answer is 2.

2

2

The y value at x=3 is 2.

y=2

y=2

Create a table of the x and y values.

xy1-132

xy1-132

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

Slope: 32

y-intercept: -52

xy1-132

Graph 3x-2y=5