Answer
$y=-3x-2$
Work Step by Step
In the equation $y=mx+b$, $m$ is the slope and $b$ is the y-intercept.
Since the slope is $-3$, the equation becomes $y=-3x+b$.
Now, we substitute the point (1,-5) in the equation to find the intercept b:
$y=-3x+b$
$-5=-3(1)+b$
$-5=-3+b$
$-5+3=b$
$b=-2$.
Therefore, the equation of the line is $y=-3x-2$.
