Examples

Find the Slope for Each Equation
,
Step 1
Use the slope-intercept form to find the slope.
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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.
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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.
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Step 4.1
Eliminate the equal sides of each equation and combine.
Step 4.2
Solve for .
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Step 4.2.1
Rewrite the equation as .
Step 4.2.2
Move all terms not containing to the right side of the equation.
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Step 4.2.2.1
Subtract from both sides of the equation.
Step 4.2.2.2
Subtract from .
Step 4.3
Evaluate when .
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Step 4.3.1
Substitute for .
Step 4.3.2
Substitute for in and solve for .
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Step 4.3.2.1
Remove parentheses.
Step 4.3.2.2
Remove parentheses.
Step 4.3.2.3
Add and .
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
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