Respuesta :

Answer:

The slope of a line parallel to the given line is m = -3/2.

Step-by-step explanation:

Here, the given equation is [tex]y = -(\frac{3}{2} )x[/tex]

The given equation is of the form y = mx + C    :     where m is the slope and C is y-intercept.

Here, comparing  m  = (-3/2)  and C = 0

So, slope of the given equation is  m = -(3/2)

Also, two equations are said to be parallel if they have equal slopes.

⇒Slope of the line parallel to the given equation:   m  = (-3/2)

Hence, the slope of a line parallel to the given line is m = -3/2.