Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x - 2 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Parallel lines have equal slopes , then
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, 5) into the partial equation
5 = - 1 + c ⇒ c = 5 + 1 = 6
y = - [tex]\frac{1}{2}[/tex] x + 6 ← equation of line
