HOY AND VUX

About "HOY and VUX"

"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 the 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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