Question

Question


The equation of the graph above is y=23x
.

If the graph was shifted 3 units up, then the equation of the graph would be____________.

(1 point)
Responses

y=53x
y is equal to 5 thirds x

y=23x−3
y is equal to 2 thirds x minus 3

y=73x
y is equal to 7 thirds x

y=23x+3
y is equal to 2 thirds x plus 3
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Answer 1

If the original equation of the graph is \( y = \frac{2}{3}x \) and the graph is shifted 3 units up, you need to add 3 to the entire equation.

So, the equation becomes:

\[
y = \frac{2}{3}x + 3
\]

Therefore, the correct answer is:

**y = \(\frac{2}{3}x + 3\)** (y is equal to \( \frac{2}{3}x \) plus 3).