Question 403385
The equation to use is
{{{(y - y[2]) / (x - x[2]) = (y[1] - y[2]) / (x[1] - x[2])}}}
Now plug in the points (-1,-1) and (-3,9)
{{{(y - (-1)) / (x - (-1)) = (9 - (-1)) / (-3 - (-1))}}}
{{{(y + 1) / (x + 1) = 10 / (-2)}}}
{{{(y + 1) / (x + 1) = -5}}}
{{{y + 1 = -5*(x + 1)}}}
{{{y + 1 = -5x - 5}}}
{{{y = -5x - 6}}}
The y-intercept is at
{{{y = -5*0 - 6}}}
{{{y = -6}}}
(0,-6)
The x-intercept is at
{{{0 = -5x - 6}}}
{{{5x = -6}}}
{{{x = -6/5}}}
(-6/5 , 0)