Question

Find the equation of the line whose:
$slope=2$ and $y-intercept=3$.

Answer 1

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.

Therefore, with slope $m=-2$ and y-intercept $c=3$, the equation of a line is:

$y=mx+c\Rightarrow y=(-2\times x)+3\Rightarrow y=-2x+3\Rightarrow 2x+y-3=0$

Hence, the equation of a line is $2x+y-3=0$.