Answer
$y=3x-3$ or, in general form, $3x-y-3=0$
Work Step by Step
$x$-intercept $1;$ $y$-intercept $-3$
Use the slope-intercept form of the equation of a line, which is $y=mx+b$, where $m$ is the slope and $b$ is the $y$-intercept.
The intercepts of the line are given and these are obviously points through which the line passes. These points are $(1,0)$ and $(0,-3)$. Use them to find the slope of the line:
$m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}=\dfrac{-3-0}{0-1}=\dfrac{-3}{-1}=3$
Substitute $m$ and the $y$-intercept into the formula to obtain the equation of this line:
$y=mx+b$
$y=3x-3$ or, in general form, $3x-y-3=0$
