Answer
$y = 3x - 3$
Work Step by Step
We are told to find the equation of the line that satisfies the following conditions:
The $x$-intercept is $1$ and the $y$-intecept is $-3$
To find the equation of the line we must find the slope: $m = \frac{y_2 -y_1}{x_2 - x_1}$
and then use point slope form: $y−y_1=m(x−x_1)$
It may not be obvious at first, but the intercepts given are actually the points: $(1,0)$ and $(0,-3)$
$m =\frac{-3-0}{0-1} = \frac{-3}{-1} = 3$
$y - (- 3)=3(x)$
$y=-5x +10 + 1$
$y = 3x -3$
or
$y = mx + b$
$m = 3$
$b = -3$
$y = 3x - 3$
