The graph of x + 3 = 0 is a line
(a) making an intercept –3 on the x-axis
(b) making an intercept –3 on the y-axis
(c) parallel to the y-axis at a distance of 3 units to the left of y-axis
(d) parallel to the x-axis at a distance of 3 units below the x-axis
As, the graph of x + 3 = 0 or x = −3 is a line parallel to y-axis i.e. x = 0.
⇒ The line represented by the equation x = −3 is parallel to y-axis and intersects x-axis at x = −3.
So, the graph of x + 3 = 0 is a line parallel to the y-axis at a distance of 3 units to the left of y-axis making an intercept −3 on the x-axis.
Hence, the correct options are (a) and (c).
Disclaimer: In this question, there are two correct answers.
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