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