Express the equation passing through points (1,7) and (-2,-3) in the form ax+by=c, where a, b, and c are integers, the greatest common divisor of a and b is 1, and c < 0.

The slope of this line is ( 7 - -3) / ( 1 - -2) = 10/ 3

Using either point to write the equation, we have

y = (10/3) ( x - 1) + 7 multiply both sides by 3

3y = 10 (x - 1) + 21

3y = 10x - 10 + 21

3y = 10x + 11 rearrange as

10x - 3y = -11