the equation Y = 2/3 x shifted 3 units up then the equation of the graph would be what

The equation of the graph would be Y = 2/3 x + 3.

To shift the equation Y = 2/3 x 3 units up, you need to add 3 to the equation. Therefore, the new equation of the graph would be Y = 2/3 x + 3.

To find the equation of the graph obtained by shifting the equation y = (2/3)x three units up, you need to modify the original equation by adding the vertical shift value of 3.

The original equation y = (2/3)x represents a line with a slope of 2/3 and passes through the origin (0,0). Adding a vertical shift of 3 units means that every y-coordinate on the graph of the new equation will be 3 units higher than the corresponding y-coordinate on the graph of the original equation.

Therefore, the equation of the shifted graph will be y = (2/3)x + 3. This equation represents a line with the same slope of 2/3 but is additionally shifted three units up from the original graph.