13x-11y=-12

Subtract 13x from both sides of the equation.

-11y=-12-13x

Divide each term by -11 and simplify.

Divide each term in -11y=-12-13x by -11.

-11y-11=-12-11+-13x-11

Cancel the common factor of -11.

Cancel the common factor.

-11y-11=-12-11+-13x-11

Divide y by 1.

y=-12-11+-13x-11

y=-12-11+-13x-11

Simplify each term.

Dividing two negative values results in a positive value.

y=1211+-13x-11

Dividing two negative values results in a positive value.

y=1211+13×11

y=1211+13×11

y=1211+13×11

y=1211+13×11

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

y=mx+b

Reorder 1211 and 13×11.

y=13×11+1211

Rewrite in slope-intercept form.

y=1311x+1211

y=1311x+1211

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

m=1311

b=1211

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

Slope: 1311

y-intercept: 1211

Slope: 1311

y-intercept: 1211

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

Replace the variable x with 0 in the expression.

f(0)=13(0)11+1211

Simplify the result.

Multiply 13 by 0.

f(0)=011+1211

Combine the numerators over the common denominator.

f(0)=0+1211

Add 0 and 12.

f(0)=1211

The final answer is 1211.

1211

1211

The y value at x=0 is 1211.

y=1211

y=1211

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=13(1)11+1211

Simplify the result.

Multiply 13 by 1.

f(1)=1311+1211

Combine the numerators over the common denominator.

f(1)=13+1211

Add 13 and 12.

f(1)=2511

The final answer is 2511.

2511

2511

The y value at x=1 is 2511.

y=2511

y=2511

Create a table of the x and y values.

xy0121112511

xy0121112511

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

Slope: 1311

y-intercept: 1211

xy0121112511

Graph 13x-11y=-12