What is the slope?
If you have ever slid in a slider on a park, then you have already experienced a real-life example of the slope.
Sometimes, we climb on the slider without using the steps. At the time, you may feel like you are using a lot of energy to get moving from down to up. The hardness of moving is because of the steepness of the slider. It is harder for you to keep yourself moving as the slider is steeper.
The measure of steepness is called slope or gradient.
Let us see some more real-life examples for slope.
1. Climbing hill
2. Riding on a bridge
If \(\theta\) is the angle of inclination of a non-vertical straight line, then \(\tan \theta\) is called the slope or gradient of the line and is denoted by \(m\).
Therefore, the slope of the straight line is \(m = \tan \theta\), \(0 \le \theta \le 180^\circ\), \(\theta \ne 90^\circ\).
In economics, the slope is essential because it is used to calculate the rate at which demand for a product changes over time-based on price. The slope is made up of two elements: steepness and direction.
<a href='https://www.freepik.com/free-photos-vectors/background'>Background vector created by upklyak - www.freepik.com</a>
<a href='https://www.freepik.com/photos/business'>Business photo created by jcomp - www.freepik.com</a>