the equation y= -4/3x was shifted _____ to get the graph y= -4/3x-5
The equation y = -4/3x was shifted 5 units down to get the graph y = -4/3x - 5.
To shift the equation y = -4/3x to y = -4/3x - 5, we need to shift it vertically downwards by 5 units.
To find the shift of the equation y = -(4/3)x to y = -(4/3)x - 5, we need to compare the two equations.
The equation y = - (4/3)x represents a downward-sloping line with a slope of -4/3. It passes through the origin (0,0) since there is no constant term.
Now, let's compare it to the equation y = - (4/3)x - 5. Notice that there is an additional constant term of -5. This term affects the vertical position (y-coordinate) of every point on the line.
By comparing the two equations, we can determine that the graph of y = - (4/3)x - 5 has been vertically shifted downward by 5 units compared to y = - (4/3)x. This means that every point on the line has been moved 5 units down on the y-axis.
In summary, the equation y = -(4/3)x was shifted downward by 5 units to obtain the graph of y = -(4/3)x - 5.