x-3y+6=0

Move all terms not containing y to the right side of the equation.

Subtract x from both sides of the equation.

-3y+6=-x

Subtract 6 from both sides of the equation.

-3y=-x-6

-3y=-x-6

Divide each term by -3 and simplify.

Divide each term in -3y=-x-6 by -3.

-3y-3=-x-3+-6-3

Cancel the common factor of -3.

Cancel the common factor.

-3y-3=-x-3+-6-3

Divide y by 1.

y=-x-3+-6-3

y=-x-3+-6-3

Simplify each term.

Dividing two negative values results in a positive value.

y=x3+-6-3

Divide -6 by -3.

y=x3+2

y=x3+2

y=x3+2

y=x3+2

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=2

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

Slope: 13

y-intercept: 2

Slope: 13

y-intercept: 2

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

Replace the variable x with 0 in the expression.

f(0)=03+2

Simplify the result.

Divide 0 by 3.

f(0)=0+2

Add 0 and 2.

f(0)=2

The final answer is 2.

2

2

The y value at x=0 is 2.

y=2

y=2

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

Replace the variable x with 3 in the expression.

f(3)=33+2

Simplify the result.

Divide 3 by 3.

f(3)=1+2

Add 1 and 2.

f(3)=3

The final answer is 3.

3

3

The y value at x=3 is 3.

y=3

y=3

Create a table of the x and y values.

xy0233

xy0233

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

Slope: 13

y-intercept: 2

xy0233

Graph x-3y+6=0