Question

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

Answer 1

$\theta ={45}^o$, y-intercept$=c=2$
Slope$=m=\tan \theta$ $m=\tan {45}^o$
$m=1$
Equation: $y=mx+c$
$y=1\left(x\right)+2=x+2$
or $x-y+2=0$