Proving Slope Is Constant Using Similarity

Proving Slope Is Constant Using Similarity
Introduction

The slope of a line describes how steep the line is. It compares the vertical change, called the rise, to the horizontal change, called the run. Using similar...

Imagine a line passing through the origin and points (1,2) and (3,6) on a coordinate plane.

Let’s see if the slope of this line is constant using the concept of similar triangles. To do this, draw a vertical segment from each point to the x-axis and a horizontal segment to create two right triangles.

Each triangle has a vertical side...