# EQUATION OF HORIZONTAL AND VERTICAL LINES WORKSHEET

## About "Equation of horizontal and vertical lines worksheet"

Equation of horizontal and vertical lines worksheet :

Here we are going to see some practice questions on horizontal and vertical lines.

(1)  Write an equation of the line which passes through (0, 4), (10, 4)

(2)  Write an equation of the line which passes through (-4, 1), (-4, 7).

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

(4)  Find the slope of the line x = 5

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

## Equation of horizontal and vertical lines worksheet - Solution

Question 1 :

Write an equation of the line which passes through (0, 4), (10, 4)

Solution :

By considering the above points, the y-coordinate values are same.

Hence it is horizontal line. Its slope must be zero.

Question 2 :

Write an equation of the line which passes through (-4, 1), (-4, 7).

Solution :

By considering the above points, the x-coordinate values are same.

Hence, it is vertical line and it has undefined slope.

Question 3 :

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.

Question 4 :

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.

Question 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.

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