13x-14y=-1

Subtract 13x from both sides of the equation.

-14y=-1-13x

Divide each term by -14 and simplify.

Divide each term in -14y=-1-13x by -14.

-14y-14=-1-14+-13x-14

Cancel the common factor of -14.

Cancel the common factor.

-14y-14=-1-14+-13x-14

Divide y by 1.

y=-1-14+-13x-14

y=-1-14+-13x-14

Simplify each term.

Dividing two negative values results in a positive value.

y=114+-13x-14

Dividing two negative values results in a positive value.

y=114+13×14

y=114+13×14

y=114+13×14

y=114+13×14

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

y=mx+b

Reorder 114 and 13×14.

y=13×14+114

Rewrite in slope-intercept form.

y=1314x+114

y=1314x+114

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

m=1314

b=114

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

Slope: 1314

y-intercept: 114

Slope: 1314

y-intercept: 114

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)14+114

Simplify the result.

Combine the numerators over the common denominator.

f(1)=13(1)+114

Simplify the numerator.

Multiply 13 by 1.

f(1)=13+114

Add 13 and 1.

f(1)=1414

f(1)=1414

Divide 14 by 14.

f(1)=1

The final answer is 1.

1

1

The y value at x=1 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)=13(0)14+114

Simplify the result.

Multiply 13 by 0.

f(0)=014+114

Combine the numerators over the common denominator.

f(0)=0+114

Add 0 and 1.

f(0)=114

The final answer is 114.

114

114

The y value at x=0 is 114.

y=114

y=114

Create a table of the x and y values.

xy011411

xy011411

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

Slope: 1314

y-intercept: 114

xy011411

Graph 13x-14y=-1