Question

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

Answer 1

As, the graph of x + 3 = 0 or x = $-$3 is a line parallel to y-axis i.e. x = 0.

$\Rightarrow$ 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.