Question

Find the equation of a line having the angle of inclination ${45}^{\circ }$ and $y-$ intercept $2$

Answer 1

Slope$=m=\tan {45}^{\circ }=1$

$y-$ intercept$=2$

Equation is $y=mx+c$

$y=x+2$

or $x-y+2=0$

$x-y+2=0$ is the required equation of the line.