Question

Draw the graph of the lines y = x + 2, y = 2x - 1 and y = 2 from x = -3 to 4, on the same graph paper. Check whether the lines drawn are parallel to each other.

Answer 1

For,
y = x + 2
When x = 0, y = 0 + 2 = 2
When x = 5, y = 5 + 2 = 7
When x = -3, y = -3 + 2 = -1

x	0	5	-3
y	2	7	-1

For,
y = 2x - 1
When x = 0, y = 2(0) -1 = -1
When x = -2, y = 2(-2) -1 = -5
When x = 3, y = 2(3) -1 = 5

x	0	-2	3
y	-1	-5	5

For,
y = 2
This line is parallel to the x-axis and passes through (0, 2)

The lines are not parallel to each other.