Question

Find the slope and y-intercept of the lines $x-y+5=0$.

Answer 1

We solve the given line $x-y+5=0$ for $y$ as follows:

$x-y+5=0\Rightarrow y=x+5......\left(1\right)$

We know that the equation of a line is $y=mx+c$ where $m$ is the slope of the line and $c$ is the y-intercept.

Comparing the equation of line $y=mx+c$ with equation 1 we have,

$m=1$ and $c=5$

Hence, the slope of the line is $1$ and the y-intercept is $5$.