# Algebra Examples

Step 1
Solve for .
Subtract from both sides of the equation.
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Dividing two negative values results in a positive value.
Divide by .
Simplify the right side.
Simplify each term.
Divide by .
Dividing two negative values results in a positive value.
Divide by .
Step 2
Rewrite in slope-intercept form.
The slope-intercept form is , where is the slope and is the y-intercept.
Reorder and .
Step 3
Use the slope-intercept form to find the slope and y-intercept.
Find the values of and using the form .
The slope of the line is the value of , and the y-intercept is the value of .
Slope:
y-intercept:
Slope:
y-intercept:
Step 4
Any line can be graphed using two points. Select two values, and plug them into the equation to find the corresponding values.
Reorder and .
Create a table of the and values.
Step 5
Graph the line using the slope and the y-intercept, or the points.
Slope:
y-intercept:
Step 6