Question

The graph 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. ⇒ 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).