Question 145480
The formula to use is
{{{(y - y[1]) / (x - x[1]) = (y[2] - y[1]) / (x[2] - x[1])}}}
where the given points are 
({{{x[1]}}},{{{y[1]}}}) = (-3,3)
({{{x[2]}}},{{{y[2]}}}) = (-4,2)
{{{(y - 3) / (x - (-3)) = (2 - 3) / (-4 - (-3))}}}
{{{(y - 3) / (x + 3) = (-1) / (-1)}}}
{{{(y - 3) / (x + 3) = 1}}}
{{{y - 3 = x + 3}}}
{{{y = x + 6}}} answer
Check. Does it go through (-3,3) and (-4,2)?
{{{3 = -3 + 6}}}
{{{3 = 3}}}
{{{2 = -4 + 6}}}
{{{2 = 2}}}
OK