-9x+3y=-42

Add 9x to both sides of the equation.

3y=-42+9x

Divide each term by 3 and simplify.

Divide each term in 3y=-42+9x by 3.

3y3=-423+9×3

Cancel the common factor of 3.

Cancel the common factor.

3y3=-423+9×3

Divide y by 1.

y=-423+9×3

y=-423+9×3

Simplify each term.

Divide -42 by 3.

y=-14+9×3

Cancel the common factor of 9 and 3.

Factor 3 out of 9x.

y=-14+3(3x)3

Cancel the common factors.

Factor 3 out of 3.

y=-14+3(3x)3(1)

Cancel the common factor.

y=-14+3(3x)3⋅1

Rewrite the expression.

y=-14+3×1

Divide 3x by 1.

y=-14+3x

y=-14+3x

y=-14+3x

y=-14+3x

y=-14+3x

y=-14+3x

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

y=mx+b

Reorder -14 and 3x.

y=3x-14

y=3x-14

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

m=3

b=-14

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

Slope: 3

y-intercept: -14

Slope: 3

y-intercept: -14

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)-14

Simplify the result.

Multiply 3 by 3.

f(3)=9-14

Subtract 14 from 9.

f(3)=-5

The final answer is -5.

-5

-5

The y value at x=3 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)-14

Simplify the result.

Multiply 3 by 2.

f(2)=6-14

Subtract 14 from 6.

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.

xy2-83-5

xy2-83-5

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

Slope: 3

y-intercept: -14

xy2-83-5

Graph -9x+3y=-42