6y-18=2x

Add 18 to both sides of the equation.

6y=2x+18

Divide each term by 6 and simplify.

Divide each term in 6y=2x+18 by 6.

6y6=2×6+186

Cancel the common factor of 6.

Cancel the common factor.

6y6=2×6+186

Divide y by 1.

y=2×6+186

y=2×6+186

Simplify each term.

Cancel the common factor of 2 and 6.

Factor 2 out of 2x.

y=2(x)6+186

Cancel the common factors.

Factor 2 out of 6.

y=2×2⋅3+186

Cancel the common factor.

y=2×2⋅3+186

Rewrite the expression.

y=x3+186

y=x3+186

y=x3+186

Divide 18 by 6.

y=x3+3

y=x3+3

y=x3+3

y=x3+3

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

y=mx+b

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

m=13

b=3

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

Slope: 13

y-intercept: 3

Slope: 13

y-intercept: 3

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

Replace the variable x with 0 in the expression.

f(0)=03+3

Simplify the result.

Divide 0 by 3.

f(0)=0+3

Add 0 and 3.

f(0)=3

The final answer is 3.

3

3

The y value at x=0 is 3.

y=3

y=3

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

Replace the variable x with 3 in the expression.

f(3)=33+3

Simplify the result.

Divide 3 by 3.

f(3)=1+3

Add 1 and 3.

f(3)=4

The final answer is 4.

4

4

The y value at x=3 is 4.

y=4

y=4

Create a table of the x and y values.

xy0334

xy0334

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

Slope: 13

y-intercept: 3

xy0334

Graph 6y-18=2x