"HOY and VUX" are two words that can be very helpful when dealing with slopes of vertical and horizontal lines.

What is horizontal line ?

The line which is parallel to x- axis is known as horizontal line.

What is vertical line ?

The line which is perpendicular to x-axis is known as vertical line.

**What is slope ?**

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Let us see some examples based on the above concept.

**Example 1 :**

Find the slope of the line y = -3

**Solution :**

**Since the given line is in the form of y = a constant, it remembers the word (HOY). From this we come to know t****he given line is horizontal line. **

**Hence its slope is zero.**

**Example 2 :**

Find the slope of the line x = 5

**Solution :**

**Since the given line is in the form of x = a constant, it remembers the word (VUX). From this we come to know that the ****given line is vertical line. **

**Hence its slope is undefined.**

**Example 3 :**

What is the equation of a line that passes through the point (3,-5) and has an undefined slope?

**Solution :**

**Since the slope of the line passes which through the point (3, -5) is undefined, it should be vertical line.**

**This remembers the word "VUX". So the equation is in the form x = a constant.**

**Hence equation of the required line is x = 3.**

**Example 4 :**

What is the equation of the line that has slope=0 and passes through (-2,-5)?

**Solution :**

**Since the slope of the required line is 0. It must be a horizontal line. So will be in the form of y = a constant.**

**Hence the equation of the required line is y = -5**

**Example 5 :**

What is the slope of the line parallel to y = -8

**Solution :**

**y = -8 is a vertical line. The line which is parallel to y = -8 is also a vertical line. **

**Hence its slope = undefined**

After having gone through the stuff given above, we hope that the students would have understood "HOY and VUX".

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