Question

The graphs of the equations 2x + 2y = 4 and y = -x + 5 are _____ lines. parallel perpendicular intersecting skew ALSO PLEASE CHOOSE FROM THOSE 4 CHOICES I REALLY NEED HELPP

Answer 1

parallel

Explanation:

Parallel lines are those whose slopes are the same. Perpendicular lines are those whose slopes are opposite reciprocals.

Look at the two line equations: 2x + 2y = 4 and y = -x + 5.

We can clearly see that the slope of the second equation is -1, but let's rearrange the first one to find the slope:

2x + 2y = 4

2y = -2x + 4

y = -x + 2

So, the slope of the first equation is also -1.

Since the two slopes are equal, we know that these lines are parallel.

~ an aesthetics lover