# Graph x-3y=-1 x-3y=-1
Solve for y.
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
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 13 and x3.
y=x3+13
Rewrite in slope-intercept form.
y=13x+13
y=13x+13
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=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
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 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
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