3x-2y=-10

Subtract 3x from both sides of the equation.

-2y=-10-3x

Divide each term by -2 and simplify.

Divide each term in -2y=-10-3x by -2.

-2y-2=-10-2+-3x-2

Cancel the common factor of -2.

Cancel the common factor.

-2y-2=-10-2+-3x-2

Divide y by 1.

y=-10-2+-3x-2

y=-10-2+-3x-2

Simplify each term.

Divide -10 by -2.

y=5+-3x-2

Dividing two negative values results in a positive value.

y=5+3×2

y=5+3×2

y=5+3×2

y=5+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 5 and 3×2.

y=3×2+5

Rewrite in slope-intercept form.

y=32x+5

y=32x+5

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

m=32

b=5

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

Slope: 32

y-intercept: 5

Slope: 32

y-intercept: 5

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=3(0)2+5

Simplify the result.

Multiply 3 by 0.

f(0)=02+5

Divide 0 by 2.

f(0)=0+5

Add 0 and 5.

f(0)=5

The final answer is 5.

5

5

The y value at x=0 is 5.

y=5

y=5

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

Replace the variable x with 2 in the expression.

f(2)=3(2)2+5

Simplify the result.

Multiply 3 by 2.

f(2)=62+5

Divide 6 by 2.

f(2)=3+5

Add 3 and 5.

f(2)=8

The final answer is 8.

8

8

The y value at x=2 is 8.

y=8

y=8

Create a table of the x and y values.

xy0528

xy0528

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

Slope: 32

y-intercept: 5

xy0528

Graph 3x-2y=-10