Question

Draw the graphs of following in R2.
(1) x = 4
(2) y = 4
(3) x = -4
(4) y = -4
(5) y = x
(6) y = -x
on the same graph paper and write the points where these lines intersect each other.

Answer 1

Steps:

We know that equation of y-axis is : x=0,thus the equation x= -4 is parallel to the the y-axis (in II Quadrant),at x is equal to -4 and by same way equation x= 4 is parallel to the the y-axis (in I Quadrant)

• Blue line : x= -4
• Green line: x=4

We know that equation of x-axis is : y=0,thus the equation y= -4 is parallel to the the x-axis (in III,Quadrant),at y is equal to -4 and by same way equation y= 4 is parallel to the the y-axis (in II Quadrant)

• Red line : y= 4
• Brown line: y= -4

y= x,is a line passes through origin,and moves in I and III Quadrant. shown with

yellow line.

y= -x,is a line passes through origin,and moves in II and IV Quadrant. shown with

purple line.

Points of intersection:

A(-4,4)

B(-4,-4)

C(0,0)

D(4,4)

E(4,-4)

Hope it helps you.