# Algebra Examples

Find the Slope for Each Equation
,
Step 1
Use the slope-intercept form to find the slope.
The slope-intercept form is , where is the slope and is the y-intercept.
Using the slope-intercept form, the slope is .
Step 2
Use the slope-intercept form to find the slope.
The slope-intercept form is , where is the slope and is the y-intercept.
Using the slope-intercept form, the slope is .
Step 3
Set up the system of equations to find any points of intersection.
Step 4
Solve the system of equations to find the point of intersection.
Eliminate the equal sides of each equation and combine.
Solve for .
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
Subtract from .
Add to both sides of the equation.
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Divide by .
Evaluate when .
Substitute for .
Multiply by .
The solution to the system is the complete set of ordered pairs that are valid solutions.
Step 5
Since the slopes are different, the lines will have exactly one intersection point.
Step 6