Determine the slope and y-intercept

-6x-5y=15

The slope of a line in form ax+by=c is -a/b
the yint of the line is c/b

so

-6x-5y=15
slope=-(-6)/-5=6/-5=-6/5
yint is 15/-5=-15/5=-3

slope=-6/5
yint is -3

or you could just do slope intercept and solve for y
y=mx+b
m=slope
b=yintercept

slope=-6/5
yint is -3

Slope:
-6x-5y=15
-6x-15=5y
5y=-6x-15
y = -6x-15 or
          5
y = -6x/5 -3
so the slope is -6/5

Y-intercept is found when x = 0, so
y = -6x/5 -3
y = -6(0)/5 -3
y = -3