Answer:
D
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{3}{4}[/tex] x + 2 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
Parallel lines have equal slopes , thus
y = [tex]\frac{3}{4}[/tex] x + c ← is the partial equation
To find c substitute (- 2, 8) into the partial equation
8 = - [tex]\frac{3}{2}[/tex] + c ⇒ c = 8 + [tex]\frac{3}{2}[/tex] = [tex]\frac{19}{2}[/tex]
Equation of parallel line is
y = [tex]\frac{3}{4}[/tex] x + [tex]\frac{19}{2}[/tex] → D
