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
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. [br]What will be the coordinates of C?
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?
Q.4
Supposing A has coordinates (a,b) and C has (c,d). Then we must have
Q.5
What happens when you move C along the line?
Q.6
What is the common feature of all the points on the horizontal line?
EQUATION OF A HORIZONTAL LINE
[size=150][color=#0b5394]Since all the points of a horizontal line have the same y-coordinate which is a constant ,we can write it as a set [/color][math]\left\{\left(x,y\right):y=c\right\}[/math][color=#0b5394] where the constant c is the value of all the y-coordinates. Therefore we define the equation of the line as [/color][math]y=c[/math][color=#0b5394].[/color][/size]
Q.7
What is the equation of line parallel to the x-axis and passing through the point (1,2)?
Q.7
If the point (1,4) lies on the line whose equation is y=c , then
Q.8
The line passing through the points (1,2) and (2,1) is parallel to x-axis . True or False?
Q.9
For what value of [math]\theta[/math] where [math]0<\theta<\pi[/math]the line [math]y=\tan\theta[/math]is not parallel to x-axis ?
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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Information: Horizontal Lines