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What lines are parallel?

A: y=3x-2 and y=1/3x-3

B: y=x and y=3

C: y=0 and y=3

Please explain the answer!!! Will give brainliest!!!

Sagot :

Answer:

C

Step-by-step explanation:

y=0 gives the straight horizontal line passing through (0,0)

y=3 also gives straight horizontal line passing through (0,3)

Given ↓

  • The following equations → y=3x-2, y=1/3x-3, y=x,  y=3, y=0 and y=3.

To Find ↓

  • Which two lines are parallel?

Calculations ↓

In order to find out which two lines are parallel, let's find the slope of each line first.

The slope of the line y=3x-2 is 3.

The slope of the line y=1/3x-3 is 1/3

The slope of the line y=x is 1

The slope of the line y=3 is 0

The slope of the line y=0 is 0

Now, if two lines have the same slope, they are parallel to each other.

So if a line's slope is 0, the line parallel to it has a slope of 0.

So the parallel lines here are ↓

y=0 and y=3

hope helpful ~