Answer:
y = [tex]\frac{1}{4}[/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}{4}[/tex] x - 1 ← is in this form
with slope m = [tex]\frac{1}{4}[/tex]
• Parallel lines have equal slopes, thus
y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation of the parallel line
To find c substitute (8, 5) into the partial equation
5 = 2 + c ⇒ c = 5 - 2 = 3
y = [tex]\frac{1}{4}[/tex] x + 3 ← equation of parallel line
