Consider the line 𝑦=2𝑥+2y=2x+2. If every point on the line is shifted 22 units up, find the equation of the new line.

Question

Consider the line 𝑦=2𝑥+2y=2x+2. If every point on the line is shifted 22 units up, find the equation of the new line.
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Solution 1

The given line is y = 2x + 2.

When every point on the line is shifted 22 units up, the y-coordinate of each point increases by 22.

Therefore, the equation of the new line becomes y = 2x + 2 + 22.

Simplify the equation to get y = 2x + 24.

So, the equation of the new line is y = 2x + 24. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.

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