# 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.

Move all terms containing to the left side of the equation.

Add to both sides of the equation.

Add and .

Subtract from both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

Replace all occurrences of in with .

Multiply .

Multiply by .

Multiply by .

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.