Which statement about the following equations is correct yx5

Which statement about the following equations is correct?

y=x+5

y=x-5

1. The equations are independent because the equations represent two distinct lines that are parallel.

2. The equations are dependent because the lines intersect at only one point.

3. The equations are dependent because the lines are the same line.

4. The equations are independent because the lines intersect in one point.

Solution

1. The equations are independent because the equations represent two distinct lines that are parallel.

both lines have same slope , only the y intercepts are different , so they are parallel.