The graph of y + 2 = 0 is a line

Question:

The graph of y + 2 = 0 is a line
(a) making an intercept –2 on the x-axis
(b) making an intercept –2 on the y-axis
(c) parallel to the x-axis at a distance of 2 units below the x-axis
(d) parallel to the y-axis at a distance of 2 units to the left of y-axis

Solution:

As, the graph of y + 2 = 0 or y = −2 is a line parallel to x-axis i.e. y = 0.

⇒ The line represented by the equation y = −2 is parallel to x-axis and intersects y-axis at y = −2.

So, the graph of y + 2 = 0 is a line parallel to the x-axis at a distance of 2 units below the x-axis making an intercept −2 on the y-axis.

Hence, the correct options are (b) and (c).

Disclaimer: In this question, there are two correct answers

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