# Precalculus Examples

,

The slope-intercept form is , where is the slope and is the y-intercept.

Using the slope-intercept form, the slope is .

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.

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.

Subtract from both sides of the equation.

Add and .

Solve for in the first equation.

Replace all occurrences of with the solution found by solving the last equation for . In this case, the value substituted is .

Add and .

Solve for in the second equation.

List the solutions to the system of equations.

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.