Question

Equation of a line whose inclination is 45${}^{\circ }$ and making an intercept of 3 units of X-axis is

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

Answer 1

The correct option is B $x-y-3=0$

Given

slope(m)= $\tan \theta$

$\theta \to$ inclination with +ive x axis

Here $\theta ={45}^o$

$m=\tan \left({45}^o\right)=1$

Also, the slope intercept form of $E{q}^n$ is $y=mx+c$

But c intercept on y axis

So here, it passes through the point (3,0) with slope $1$

$\therefore y=1(x-3)$

Or, $x-y-3=0$