# Algebra 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.

Solve for .

Rewrite the equation as .

Move all terms not containing to the right side of the equation.

Subtract from both sides of the equation.

Subtract from .

Evaluate when .

Substitute for .

Substitute for in and solve for .

Remove parentheses.

Remove parentheses.

Add and .

The solution to the system is the complete set of ordered pairs that are valid solutions.

Since the slopes are different, the lines will have exactly one intersection point.