-9x+3y=-14

Add 9x to both sides of the equation.

3y=-14+9x

Divide each term by 3 and simplify.

Divide each term in 3y=-14+9x by 3.

3y3=-143+9×3

Cancel the common factor of 3.

Cancel the common factor.

3y3=-143+9×3

Divide y by 1.

y=-143+9×3

y=-143+9×3

Simplify each term.

Move the negative in front of the fraction.

y=-143+9×3

Cancel the common factor of 9 and 3.

Factor 3 out of 9x.

y=-143+3(3x)3

Cancel the common factors.

Factor 3 out of 3.

y=-143+3(3x)3(1)

Cancel the common factor.

y=-143+3(3x)3⋅1

Rewrite the expression.

y=-143+3×1

Divide 3x by 1.

y=-143+3x

y=-143+3x

y=-143+3x

y=-143+3x

y=-143+3x

y=-143+3x

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

y=mx+b

Reorder -143 and 3x.

y=3x-143

y=3x-143

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

m=3

b=-143

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

Slope: 3

y-intercept: -143

Slope: 3

y-intercept: -143

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)-143

Simplify the result.

Multiply 3 by 1.

f(1)=3-143

To write 3 as a fraction with a common denominator, multiply by 33.

f(1)=3⋅33-143

Combine 3 and 33.

f(1)=3⋅33-143

Combine the numerators over the common denominator.

f(1)=3⋅3-143

Simplify the numerator.

Multiply 3 by 3.

f(1)=9-143

Subtract 14 from 9.

f(1)=-53

f(1)=-53

Move the negative in front of the fraction.

f(1)=-53

The final answer is -53.

-53

-53

The y value at x=1 is -53.

y=-53

y=-53

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)-143

Simplify the result.

Multiply 3 by 2.

f(2)=6-143

To write 6 as a fraction with a common denominator, multiply by 33.

f(2)=6⋅33-143

Combine 6 and 33.

f(2)=6⋅33-143

Combine the numerators over the common denominator.

f(2)=6⋅3-143

Simplify the numerator.

Multiply 6 by 3.

f(2)=18-143

Subtract 14 from 18.

f(2)=43

f(2)=43

The final answer is 43.

43

43

The y value at x=2 is 43.

y=43

y=43

Create a table of the x and y values.

xy1-53243

xy1-53243

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

Slope: 3

y-intercept: -143

xy1-53243

Graph -9x+3y=-14