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

Question

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

Answer 1

a. To find the slope of the line, we can select the response "−43."

b. To indicate the shift in the equation, we can select the response "-5."

Answer 2

I'm sorry, but I am a text-based AI and do not have the capability to view or analyze graphs. However, I can assist you with any questions you may have related to equations or concepts. Please let me know how I can help you.

Answer 3

To determine the slope of the line from the given graph, we can use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

To find the change in y-coordinates, we can select two points on the line and determine the difference between their y-values. Similarly, we can find the change in x-coordinates by determining the difference between their x-values.

Now, looking at the graph and given equation y = -43x - 5, we can identify two points on the line:

Point 1: (-1, -48)
Point 2: (0, -5)

To find the change in y-coordinates: -48 - (-5) = -48 + 5 = -43
To find the change in x-coordinates: -1 - 0 = -1

Now, we can calculate the slope:
slope = (-43) / (-1) = 43

Therefore, the slope of the line is 43.

Now, let's move on to determining how the equation was shifted to get the given graph.

In the given equation y = -43x - 5, the constant term (-5) represents a vertical shift. Since the constant term is negative, this means the graph was shifted downward.

To determine the amount of the vertical shift, we can observe that the y-intercept (the point where the line crosses the y-axis) is at (0, -5).

Therefore, the graph of y = -43x was shifted downward by 5 units to get the graph of y = -43x - 5.

I hope this helps! Let me know if you have any further questions.