To find the Y-intercept, rewrite the equation in slope-intercept form.
y-3=-2(x+5)
Use the distributive property on the right side:
y-3 = -2x-10
Now you need to get Y by itself, so add 3 to each side of the equation:
y = -2x-7
Now the equation is in slope intercept form.
The slope is the -2 and the Y-intercept is the -7