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The equation y=3x and y=3x-3 represents what type of lines?

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Y=3x the equation was difficult
User Yavuz Sert
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3 votes

Answer: It represent Parallel lines which means it have no solution which also means they never intersect.

Explanation:

y=3x will be going through the origin and y=3x-3 will be going through the y intercept -3.

Since the lines has the same slopes and different y intercept we will have no solutions.

Solve the equations to prove it.

First set them equal each other and solve for x.

3x - 3 = 3x

-3x -3x

-3 ≠ 0

As you can see -3 does not equal 0 so there will be no solution.

User Sagar Gangawane
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9.0k points

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