Question

The equation of a straight line which makes an angle ${45}^o$ with the x-axis with y-intercept $101$ units is:

• A. $10x+101y=1$
• B. $101x+y=1$
• C. $x+y-101=0$
• D. $x-y+101=0$

Answer 1

Answer: (D)

$x-y+101=0$

Let the equation be $y=mx+c$
where $m$ is the slope and $c$ is the $y$-intercept of the line.
It is given that the y intercept is $101$.
Slope of line is $m=\tan \left({45}^o\right)=1$
So the equation is $y=x+101$
it can be written as $x-y+101=0$.
So option D is correct