In the webpage "HOY and VUX worksheet, we are going to see some practice questions.

(1) Find the slope of the line y = -3

(2) Find the slope of the line x = 5

(3) Find which of the following lines are horizontal lines and also write the equations of those lines.

(4) Check whether x = -2 is a horizontal or vertical line ?

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

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

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

**Problem 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.**

**Problem 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.**

**Problem 3 : **

**Find which of the following lines are horizontal lines and also write the equations of those lines.**

**Solution :**

The lines which are parallel to x-axis is known as horizontal lines. Here the lines 1, 2,3 and 4 are parallel to x-axis.

**Equation of line 1 :**

**y = 5**

**Equation of line 2 :**

**y = 2**

**Equation of line 3 :**

**y = -1**

**Equation of line 4 :**

**y = -2**

**Problem 4 :**

Check whether x = -2 is a horizontal or vertical line ?

**Solution :**

Since the line x = -2 is perpendicular to the x-axis, it is vertical line.

**Example 5 :**

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 6 :**

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 7 :**

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 worksheet".

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