Horizontal Lines

Drag the point A to any location and then drag C along the horizontal line joining A and C. Observe what happens.

Q.1

The blue line is parallel to x-axis. A and C are any two points on it. Then

Select all that apply

A
x-coordinate of A=x-coordinate of B
B
y-coordinate of A=y-coordinate of B

Q.2

Put A at (-4,2) . Bring C on top of A. Then move C to the right by a distance of 6 units. What will be the coordinates of C?

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A
(-4,8)
B
(2,8)
C
(2,2)

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Q.3

Put A at (-3,3). Bring C on top of it. Then move it to the left a distance of 4 units. What will be the coordinates of C?

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A
(-7,-1)
B
(-7,3)
C
(-3,7)

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Q.4

Supposing A has coordinates (a,b) and C has (c,d). Then we must have

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A
a=c
B
b=d
C
a=d
D
b=c

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Q.5

What happens when you move C along the line?

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A
Both the coordinates of C change.
B
Only x-coordinates changes but y-coordinate does not.
C
x-coordinate changes according to the distance moved along the line.
D
y-coordinate remains same through out the movement.

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Q.6

What is the common feature of all the points on the horizontal line?

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A
All the points on the line have the same x-coordinate.
B
All the points on the line have the same y-coordinate.

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EQUATION OF A HORIZONTAL LINE

Since all the points of a horizontal line have the same y-coordinate which is a constant ,we can write it as a set

where the constant c is the value of all the y-coordinates. Therefore we define the equation of the line as

Q.7

What is the equation of line parallel to the x-axis and passing through the point (1,2)?

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Q.7

If the point (1,4) lies on the line whose equation is y=c , then

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A
c=1
B
c=4

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Q.8

The line passing through the points (1,2) and (2,1) is parallel to x-axis . True or False?

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A
True
B
False

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Q.9

For what value of where the line is not parallel to x-axis ?

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Q.10

The point (-1,-3) lies in the region bounded by the lines y=-1 and y=-4. True/False?

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A
True
B
False

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Horizontal Lines

Drag the point A to any location and then drag C along the horizontal line joining A and C. Observe what happens.

Q.1

Q.2

Q.3

Q.4

Q.5

Q.6

EQUATION OF A HORIZONTAL LINE

Q.7

Q.7

Q.8

Q.9

Q.10

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