Answer:
y = [tex]\frac{1}{2}[/tex] x - 5
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 - 3 ← is in slope- intercept form
with m = [tex]\frac{1}{2}[/tex]
Parallel lines have equal slopes, thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (6, - 2) into the partial equation
- 2 = 3 + c ⇒ c = - 2 - 3 = - 5
y = [tex]\frac{1}{2}[/tex] x - 5 ← equation of line
