x-3y=-1

Subtract x from both sides of the equation.

-3y=-1-x

Divide each term by -3 and simplify.

Divide each term in -3y=-1-x by -3.

-3y-3=-1-3+-x-3

Cancel the common factor of -3.

Cancel the common factor.

-3y-3=-1-3+-x-3

Divide y by 1.

y=-1-3+-x-3

y=-1-3+-x-3

Simplify each term.

Dividing two negative values results in a positive value.

y=13+-x-3

Dividing two negative values results in a positive value.

y=13+x3

y=13+x3

y=13+x3

y=13+x3

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

y=mx+b

Reorder 13 and x3.

y=x3+13

Rewrite in slope-intercept form.

y=13x+13

y=13x+13

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

m=13

b=13

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

Slope: 13

y-intercept: 13

Slope: 13

y-intercept: 13

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

Replace the variable x with 2 in the expression.

f(2)=23+13

Simplify the result.

Combine the numerators over the common denominator.

f(2)=2+13

Add 2 and 1.

f(2)=33

Divide 3 by 3.

f(2)=1

The final answer is 1.

1

1

The y value at x=2 is 1.

y=1

y=1

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

Replace the variable x with 0 in the expression.

f(0)=03+13

Simplify the result.

Combine the numerators over the common denominator.

f(0)=0+13

Add 0 and 1.

f(0)=13

The final answer is 13.

13

13

The y value at x=0 is 13.

y=13

y=13

Create a table of the x and y values.

xy01321

xy01321

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

Slope: 13

y-intercept: 13

xy01321

Graph x-3y=-1