# Precalculus Examples

Find the Slope for Each Equation
,
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 .
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 .
Set up the system of equations to find any points of intersection.
Solve the system of equations to find the point of intersection.
Eliminate the equal sides of each equation and combine.
Rewrite the equation as .
Move all terms not containing to the right side of the equation.
Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.
Replace all occurrences of with the solution found by solving the last equation for . In this case, the value substituted is .
Solve for in the second equation.
The solution to the system of equations can be represented as a point.
Since the slopes are different, the lines will have exactly one intersection point.

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