Horizontal Line :
A horizontal line is one that goes from left to right across the page. This is because horizontal lines are parallel to the x-axis.
The equations which is in the form, y = a and y = b known as horizontal lines.
Vertical Line :
In a coordinate plane, a line parallel to the Y-axis is called Vertical Line. It is a straight line which goes from top to bottom and bottom to top.
The equations which is in the form, x = a and x = b known as vertical lines.
Problem 1 :
Identify as either a vertical or horizontal line and hence plot the graphs of:
a) y = 3
Solution :
y = b
So, y = 3 is a horizontal line.
b) x = 4
Solution :
The given line is parallel to y-axis, so it is vertical line passes through 4.
c) y = -2
Solution :
The given line is parallel to x-axis, so it is horizontal line.
So, y = -2
is a horizontal line.
d) x = -6
Solution :
The given line is parallel to y-axis. It is in the form of
x = a
So, x = -6 is a vertical line.
Problem 2 :
Identify as either a vertical or horizontal line:
(i) a line with zero slope
(ii) a line with undefined gradient
Solution :
(i) Horizontal line will have zero slope.
(ii) The vertical lines only will have undefined slope.
Problem 3 :
Find the equation of:
a) The x-axis
b) The y-axis
c) A line parallel to the x-axis and two units above it
d) A line parallel to the y-axis and 3 units to the left of it
Solution :
a) The x-axis equation is y = 0
b) The y-axis equation is x = 0
c) The equation of a straight line parallel to the x-axis at a distance of 2 units above the x-axis is y = 2.
d) The equation of the parallel to y-axis at a distance of 3 units to the left is x = -3.
x + 3 = 0
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM