Question

Find the equation of a line with slope $1$ and cutting off an intercept of $4$ units on y-axis.

Answer 1

Solve for the equation of line

Slope of a line $m=1$
y-intercept $c=4$
The equation of a line with slope $m$ and y-intercept $c$ is given by:
$y=mx+c$
Substituting$m=1$ and $c=4$,
$$\begin{gathered} y=\left(1\right)x+4 \\ y=x+4 \end{gathered}$$
$x–y+4=0$
Hence the required equation of a line is $x–y+4=0$