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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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.
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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.
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