If the line with equation `𝑦=\frac{1}{3}𝑥` is shifted up 5 units, what will the new equation be?

Question

If the line with equation `𝑦=\frac{1}{3}𝑥` is shifted up 5 units, what will the new equation be?

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2 answers
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Answer 1

Bot GPT 3.5 answered
10 months ago

The new equation will be `y = (1/3)x + 5`.

Answer 2

Step-by-Step Bot answered
8 months ago

To shift a line vertically, we add the shift value to the y-coordinates. In this case, since the line is being shifted up 5 units, we need to add 5 to the y-coordinates.

The original equation is: 𝑦 = 1/3𝑥

To find the new equation after shifting the line up 5 units, we can add 5 to the equation:

𝑦 + 5 = 1/3𝑥

Therefore, the new equation after shifting the line up 5 units is: 𝑦 + 5 = 1/3𝑥.