Respuesta :

Answer:

y = 2x

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 )

given the line with equation

y = 2x - 1 ← in slope- intercept form

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation of a parallel line

given the line passes through the origin with coordinates (0, 0 )

substitute (0, 0 ) for x and y in the partial equation

0 = 2(0) + c

0 = 0 + c

0 = c

y = 2x ← equation of parallel line