Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
given
x + 2y + 6 = 0 ( subtract x + 6 from both sides )
2y = - x - 6 ( divide terms by 2 )
y = - [tex]\frac{1}{2}[/tex] x - 3 ← in slope- intercept form
with gradient m = - [tex]\frac{1}{2}[/tex] and y- intercept c = - 3