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