# Category: Analytical Geometry

## Perpendicular Lines Shortcut

You probably know how to solve this since solving perpendicular lines is very easy. Problem solving about this topic and its application was published few months ago in this page. But now let’s talk...

## Parallel Lines Shortcut

Parallel lines in Analytical Geometry are two lines with the same slope. Basically, to solve for the equation of the line through a point and parallel to a given line with a known slope...

## Determining a Function

Determining if an equation is a function is easy if we know or at least familiar of the graph of a certain equation. To determine a function, we conduct vertical line test. It is...

## Equation of a Circle

In this topic we will learn how to create an equation of a circle with different given. Being familiar of the method will boost our speed and accuracy. Most of the problems we encounter...

## Division of Line Segment

This topic is really easy. This is just a matter of small common sense and your skill to substitute. Formula derivation: Consider points A(x1,y1) and B(x2,y2) is divided by point P(xp,yp) to a ratio...

## Perpendicular Lines and its Application

Perpendicular lines are two intersecting lines that meet at right angle or exactly 90°. Let’s bring that line now to coordinate plane. In Analytical Geometry, two lines are perpendicular if the product of their slopes...

## Generating Equation of the Line

Line is one of the three undefined objects in plane geometry. This time, we will tackle line in coordinate plane. I will provide sample problems and solution to understand deeply how to generate equation...

## Parallel lines

Parallel lines are lines that do not intersect no matter how long they extend. In analytical geometry, two lines are said to be parallel if and only if their slopes are the same. Applications:...