A line passes through the points (-3,-5) and (8,1). The equation of this line can be expressed in the form Ax+By=C, where A,B , and C are integers with greatest common divisor and is positive. Find A+B+C
First, find the slope:
Then we find the y-intercept:
So for every 11 spaces we go to the right, we go up 6 spaces.
To get an x value of zero, we want to go 3 spaces to the right and we go up 3/11*6 or 18/11 spaces up.
-5+18/11 is - 3 4/11.
So our equation now is y=6/11x-37/11
Multiply both sides by 11 to get
Add 37 and subtract 11y from each side to get
37+6-11 is 32.