Answer:
3rd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the rate of change and c the y- intercept )
Given
2x + 8y = - 4 ( subtract 2x from both sides )
8y = - 2x - 4 ( divide terms by 8 )
y = - [tex]\frac{2}{8}[/tex] x - [tex]\frac{4}{8}[/tex] , that is
y = - [tex]\frac{1}{4}[/tex] x - [tex]\frac{1}{2}[/tex] ← in slope- intercept form
with rate of change m = - [tex]\frac{1}{4}[/tex] and y- intercept c = - [tex]\frac{1}{2}[/tex]
