the equation of this graph is y=2/3x-4
what transformation would need to happen for the equation of the line to be y=2/3x?
shift the graph up 4
shift the graph right 3, down 2
shift the graph left 4
shift the graph down 3 and left 2
To change the equation of the line to y = 2/3x, the graph would need to be shifted down by 4 units and shifted right by 3 units.
To obtain the equation of the line y = 2/3x, the graph would need to undergo the transformation of shifting it up by 4 units.
To determine the transformation needed for the equation of the line to be y = 2/3x, we need to compare it with the given equation y = 2/3x - 4.
The given equation y = 2/3x - 4 represents a line with a slope of 2/3 and a y-intercept of -4. The transformation needed to change the equation to y = 2/3x, is to eliminate the y-intercept term (in this case, -4).
To remove the y-intercept term, we need to shift the graph upward by 4 units. Shifting the graph upward retains the slope of 2/3 while eliminating the y-intercept term.
Therefore, the correct transformation needed for the equation of the line to be y = 2/3x is to shift the graph up by 4 units.