Answer:
y = [tex]\frac{1}{3}[/tex] x + 3
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}{3}[/tex] x + 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Parallel lines have equal slopes , then
y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = 2 + c ⇒ c = 5 - 2 = 3
y = [tex]\frac{1}{3}[/tex] x + 3 ← equation of parallel line
