Respuesta :

Answer:

B

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{4}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ā† is in slope- intercept form

with slope m = [tex]\frac{4}{3}[/tex]

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 8 = [tex]\frac{4}{3}[/tex] (x + 6) ā† is in point- slope form

with slope m = [tex]\frac{4}{3}[/tex]

Parallel lines have equal slopes, thus

The 2 given lines are Parallel

The answer is:

B- Distinct Parallel Lines (DPL)