Question 306151
The formula is
{{{(y - y[2])/(x - x[2]) = (y[1] - y[2])/(x[1] - x[2])}}}
where
(x1,y1) = (5,6)
(x2,y2) = (-3,1)
{{{(y - 1)/(x - (-3)) = (6 - 1)/(5 - (-3))}}}
{{{(y - 1)/(x + 3) = (6 - 1)/(5 + 3)}}}
{{{(y - 1)/(x + 3) = 5/8}}}
{{{y - 1 = (5/8)*(x + 3)}}}
{{{y - 1 = (5/8)*x + 15/8}}}
{{{y = (5/8)*x + 23/8}}} answer
check:
does line go through the points?
(5,6)
{{{6 = (5/8)*5 + 23/8}}}
{{{6 = 25/8 + 23/8}}}
{{{6 = 48/8}}}
{{{6 = 6}}}
OK
(-3,1)
{{{1 = (5/8)*(-3) + 23/8}}}
{{{1 = -15/8 + 23/8}}}
{{{1 = 8/8}}}
{{{1 = 1}}}
OK