Answer
Point-slope form: $y - 3 = -3(x + 3)$ Slope-Intercept form: $y = -3x - 6$
Work Step by Step
$Slope$ $of$ $line$ $passing$ $through$ $points$ $(1,3)$ $and$ $(3, -3)$: $$m_{slope} = \frac{y_{2} - y_{1}}{x_{2}-x_{1}} = \frac{-3 - 3}{3 - 1} = \frac{-6}{2} = -3$$ Point-Slope form: $$y - -3 = -3(x - 3)$$ $$y + 3 = -3( x- 3)$$ Slope-Intercept form: $$y + 3 = -3(x - 3)$$ $$y + 3 = -3x + 9$$ $$y = -3x + 9 - 3 $$ $$y = -3x + 6$$
