Answer:
B. y=-2+x and 2y-2x=-2
Step-by-step explanation:
Two lines are parallel if they have the same slope.
The equation 0of a line is tipically written as y=mx + b, where 'm' represents the slope and 'b' the y-intercept.
Let's evaluate each of the options:
A. y=4x+1 and y+4x=5
Writing the equations in the slope-intercept form, we get:
y=4x+1 → m=4
y=5-4x → m=-4
Given that they have different slopes, they are not parallel.
B. y=-2+x and 2y-2x=-2
Writing the equations in the slope-intercept form, we get:
y=-2+x → m=1
y=-1 + x → m=1
Given that the equations have the same slope, they are parallel.
C. y=1/4x + 2 and y-2=1/2x
Writing the equations in the slope-intercept form, we get:
y=1/4x + 2 → m=1/4
y=1/2x+2 → m=1/2
Given that they have different slopes, they are not parallel.
D. y=1/5x+1 and 5y+x= 10
Writing the equations in the slope-intercept form, we get:
y=1/5x+1 → m=1/5
5y+x= 10 → y=2 - 1/5x → m=-1/5
Given that they have different slopes, they are not parallel.
