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Question

The graph of y + 2 = 0 is a line

(a) making an intercept of - 2 on the x - axis

(b) making an intercept of - 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 the 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).

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