The idea is to get y by itself....so.....
-10x + 11y = -6 add 10x to both sides
11y = 10x - 6 divide both sides by 11
y = (10/11)x - (6/11)
The slope is the thing in front of x and the yintercept is the remaining term.....so....
Slope = (10/11) y intercept = ( - 6/11) {2nd answer}