Hi and good morning from Canada!
In order to find the slope and the y-intercept of 4x+2y=-6, we need to put this equation in y=mx+b form. This is because m=the slope and b=the y-intercept of a linear function, which is what this equation is (since the degree of the equation is a 1).
4x+2y=-6
2y=-4x-6
y=-4/2x-6/2
y=-2x-3
Therefore the slope is equal to -2 and the y-intercept is (0, -3).
Hope this helps!