The line represented by $y=\frac{1}{2} x$ is translated up 4 units.
Which option is a graph of the new line?

Answer

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Answer

$\boxed{y=\frac{1}{2}x + 4}$ is the equation of the new line after translating the original line up by 4 units.

Steps

Step 1 ：Given the line represented by the equation $y=\frac{1}{2}x$, we need to translate it up by 4 units.

Step 2 ：To translate the line up by 4 units, we need to add 4 to the y-coordinate of the original equation.

Step 3 ：The translated equation is $y=\frac{1}{2}x + 4$.

Step 4 ：$\boxed{y=\frac{1}{2}x + 4}$ is the equation of the new line after translating the original line up by 4 units.