Question

1) Which of the euqations given below have graphs parallel to the X-axis and
which one have graphs parallel to the Y - axis ?
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Answer 1

Step-by-step explanation:

graphs parallel to x-axis

a1/a2=b1/b2 not equal to c1/c2

1/2=1/2 not equal to 3/2

graphs parallel to y -axis

a1/a2=b1/b2not equal to c1/c2

1/2=1/2 not equal to 3/2.

Answer 2

i. The equation of a line parallel to the Y-axis is x = a.

∴ The line x = 3 is parallel to the Y-axis.

ii. y – 2 = 0

∴ y = 2

The equation of a line parallel to the X-axis is y = b.

∴ The line y – 2 = 0 is parallel to the X-axis.

iii. x + 6 = 0

∴ x = -6

The equation of a line parallel to the Y-axis is x = a

∴ The line x + 6 = 0 is parallel to the Y-axis.

iv. The equation of a line parallel to the X-axis is y = b.

So, the X-axis is y = b

∴ The line y = – 5 is parallel to the X-axis.

EXPLANATION:-

• x = −6 is the equation of the line parallel to Y-axis at a distance of 6 units from it to its left. Thus, the graph of the line x + 6 = 0 is parallel to Y-axis.