The equation of the graph above is y=2/3x
.
If the graph was shifted 3 units up, then the equation of the graph would be____________.
(1 point)
Responses
y=7/3x
y is equal to 7 thirds x
y=5/3x
y is equal to 5 thirds x
y=2/3x+3
y is equal to 2 thirds x plus 3
y=2/3x−3
y is equal to 2 thirds x minus 3
Skip to navigation
The correct response is y=2/3x+3. This equation represents the graph of y=2/3x shifted 3 units up.
Look at the graph.
(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
a. What is the slope of the line? Response area
b. The equation y=−43x
was shifted Response area to get the graph of y=−43x −5
a. The slope of the line is 2/3.
b. The equation y=-43x was shifted to get the graph of y=-43x - 5.
If the graph is shifted 3 units up, the y-coordinate of each point on the graph will increase by 3. Therefore, the equation of the graph will be y = 2/3x + 3.
To find the equation of the graph after shifting it 3 units up, you need to add 3 to the original equation.
The original equation is y = (2/3)x.
When you shift the graph 3 units up, the y-coordinate of every point on the graph will increase by 3.
So, the new equation of the graph would be y = (2/3)x + 3.