Examples

Find the Slope for Each Equation
,
Step 1
Use the slope-intercept form to find the slope.
Tap for more steps...
Step 1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.2
Using the slope-intercept form, the slope is .
Step 2
Use the slope-intercept form to find the slope.
Tap for more steps...
Step 2.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 2.2
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.
Tap for more steps...
Step 4.1
Eliminate the equal sides of each equation and combine.
Step 4.2
Solve for .
Tap for more steps...
Step 4.2.1
Move all terms containing to the left side of the equation.
Tap for more steps...
Step 4.2.1.1
Subtract from both sides of the equation.
Step 4.2.1.2
Subtract from .
Step 4.2.2
Add to both sides of the equation.
Step 4.2.3
Divide each term in by and simplify.
Tap for more steps...
Step 4.2.3.1
Divide each term in by .
Step 4.2.3.2
Simplify the left side.
Tap for more steps...
Step 4.2.3.2.1
Cancel the common factor of .
Tap for more steps...
Step 4.2.3.2.1.1
Cancel the common factor.
Step 4.2.3.2.1.2
Divide by .
Step 4.2.3.3
Simplify the right side.
Tap for more steps...
Step 4.2.3.3.1
Divide by .
Step 4.3
Evaluate when .
Tap for more steps...
Step 4.3.1
Substitute for .
Step 4.3.2
Multiply by .
Step 4.4
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
Enter YOUR Problem
Mathway requires javascript and a modern browser.