given 2 points there is a direct eqn for a line
\(y-y2 = y2-y1/x2-x1 (x-x1)\)
using this , you get the eqn y+2 = 11(x-5)
for x-interecept you put y=0 and you get x = 57/11
I think your equation is wrong. I tried plugging in numbers and didn't get the correct equation. I believe the left side of the equation should be y - y1, not y - y2. Please confirm.