Respuesta :

Answer:

A

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

A

y = [tex]\frac{4}{3}[/tex] x + 2 → has slope m = [tex]\frac{4}{3}[/tex]

y = - [tex]\frac{3}{4}[/tex] x - 7 → has slope m = - [tex]\frac{3}{4}[/tex]

and [tex]\frac{4}{3}[/tex] × - [tex]\frac{3}{4}[/tex] = - 1

Thus this pair of lines are perpendicular

B are neither parallel nor perpendicular

C have equal slope and are parallel

D are neither parallel nor perpendicular

Q&A Education