Question

What is an equation for the line that passes through points (5, -5) and (3, 7)?

Answer 1

 

$\displaystyle\bf\\\frac{x-3}{5-3}=\frac{y-7}{-5-7}\\\\\\\frac{x-3}{2}=\frac{y-7}{-12}\\\\\\-12(x-3)=2(y-7)\\\\-12x+36=2y-14\\\\-12x-2y+36+14=0\\\\-12x-2y+50=0~~\Big|:(-2)\\\\\boxed{\bf6x+y-25=0}$