# Graph 13x-14y=-1 13x-14y=-1
Solve for y.
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
Rewrite in slope-intercept form.
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
Use the slope-intercept form to find the slope and y-intercept.
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
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
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
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