Question

Find the equation of a straight line passing through $(4,5)$ having slope $1$

Answer 1

Slope$=m=1$

The line passes through $(4,5)$

Equation of a line is $y-y_1=m(x-x_1)$

$y-5=1(x-4)$

$\Rightarrow y-5=x-4$

$\Rightarrow x-y-4+5=0$

$\therefore x-y+1=0$ is the required equation of a straight line.