Answer:
the second choice is correct
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 - 9 is in this form
with slope m = [tex]\frac{3}{4}[/tex]
• Parallel lines have equal slopes, hence
y = [tex]\frac{3}{4}[/tex] x + c ← is the partial equation of the parallel line
To find c substitute (- 8, - 18) into the partial equation
- 18 = - 6 + c ⇒ c = - 18 + 6 = - 12
y = [tex]\frac{3}{4}[/tex] x - 12 ← equation of parallel line
