Question

Equation of a line whose inclination is ${45}^0$ 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

Answer: (B)

$x-y-3=0$

Here, the slope is given for m = tan$\theta =tan45=1$

The equation of the line $y-y{}_1=m(x-x{}_1)$

Given: $y{}_1=0,x{}_1=3,$ hence $y=1(x-3)$

Or $x-y-3=0$