Question

A straight line makes an angle of $135 ^ { \circ }$ with x–axis and cuts y-axis at a distance of – 5 from the origin. The equation of the line is.

• A. $2 x + y + 5 = 0$
• B. $x + 2 y + 3 = 0$
• C. $x + y + 5 = 0$
• D. $x + y + 3 = 0$

Answer 1

Answer: (C)

$x + y + 5 = 0$

Answer 2

Let the equation of line is $y = m x + c$

Given line makes an angle of $135 ^ { \circ }$ with x-axis

So, $m = \tan \theta = \tan 135 ^ { \circ } = - 1$and cuts the intercepts – 5

from origin to y-axis i.e., $c = - 5$

Hence, equation of line is $y = - x - 5 \Rightarrow x + y + 5 = 0$.