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=73x
y is equal to 7 thirds x

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

y=53x
y is equal to 5 thirds x

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

If the original equation of the graph is \( y = \frac{2}{3}x \) and the graph is shifted 3 units up, the new equation would be obtained by adding 3 to the original equation.

Thus, the new equation becomes:

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

Among the given options, this corresponds to:

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

So the correct response is:

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