Question

Find the equation of a straight line whose inclination is ${45}^{\circ }$ and $y-$ intercept is $7$

Answer 1

Given:$\theta ={45}^{\circ },y$-intercept$=7$

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

Equation of a line is $y=mx+c$

$y=x+7$

$\Rightarrow y=x+7$

Equation of line is $x-y+7=0$