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