The equation of this graph is y = 2/3 x − 4


What transformation would need to happen for the equation of the line to be y = 2/3 x
?

(1 point)
Responses

Shift the graph right 3, down 2
Shift the graph right 3, down 2

Shift the graph down 3 and left 2
Shift the graph down 3 and left 2

Shift the graph left 4
Shift the graph left 4

Shift the graph up 4

1 answer

The original equation of the line is \( y = \frac{2}{3}x - 4 \), and you want to transform it to the equation \( y = \frac{2}{3}x \).

To do this, you need to remove the "-4" from the equation. Since "-4" indicates a downward shift of 4 units, you would need to shift the entire graph upward by 4 units to counteract that downward shift.

Thus, the correct transformation is:

Shift the graph up 4.