Look at the graph.
(2 points)
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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
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a. What is the slope of the line? Response area
-43
b. The equation y=−43x was shifted Response area to get the graph of y=−43x −5
down 5 units
To determine the slope of the line, we can look at the equation of the line. The given equation is y = -43x. The slope of a line is represented by the coefficient of x in the equation. In this case, the slope is -43.
Regarding the shift in the graph, the equation y = -43x - 5 is obtained by shifting the original graph obtained by y = -43x downwards by 5 units on the y-axis.
To determine the slope of the line in the graph, you can use the formula for slope, which is (change in y) / (change in x).
To find the change in y, you can choose any two points on the line and subtract the y-coordinates. Similarly, to find the change in x, subtract the x-coordinates of the same two points.
Once you have the change in y and change in x, divide the change in y by the change in x to get the slope of the line.
As for the equation y = -43x, to shift it to the equation y = -43x - 5, you need to subtract 5 from the right side of the equation. This shift moves the line downward by 5 units.