Question 170569
we must find the slope first for points (5,2),(-7,3).  change in y over change in x.
:
3-2/-7-5=-1/12 which is the slope.  Now according to point slope formula, which states y-k=m(x-h) where m is the slope and (h,k) is any point on the line, we have y-2=-1/12(x-5)...using point (5,2)...now we must distribute and put this in y=mx+b format.  y-2=-1/12x+5/12--->multiply each term by 12
:
12y-24=-x+5--->add x and add 24 to both sides
:
{{{highlight(x+12y=29)}}}