The initial value of the linear function can be determined by finding the y-intercept, which is the point where the line intersects the y-axis. In this case, the y-intercept is the point (0,3), indicating that the initial value is 3.
Next, we can calculate the rate of change, which is the slope of the line. The slope is determined by calculating the change in y divided by the change in x between any two points on the line. Let's choose the points (-3,4) and (0,3) to calculate the rate of change:
Change in y: 3 - 4 = -1
Change in x: 0 - (-3) = 3
Rate of change = Change in y / Change in x = -1 / 3 = -0.333
Therefore, the initial value of the linear function is 3 and the rate of change is -0.333.
Functions Unit Test
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Question
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 5 to 5 in increments of 1. A downward slanting line is plotted on the coordinate plane. The downward slanting line with arrows on both ends passes through the following closed points: left parenthesis negative 3 comma 4 right parenthesis, left parenthesis 0 comma 3 right parenthesis, left parenthesis 3 comma 2 right parenthesis, and left parenthesis 6 comma 1 right parenthesis.
Determine the initial value and the rate of change of the linear function as given in the graph. Round the answer to three decimal places as needed.
(1 point)
1 answer
1 answer