Question
(0,0) (2,3)
Determine the initial value and the rate of change of the linear function given in the graph
Determine the initial value and the rate of change of the linear function given in the graph
Answers
GPT 3.5
The initial value can be determined by looking at the y-intercept, which is the point where the line intersects the y-axis. In this case, the y-intercept is (0,0), so the initial value is 0.
The rate of change, or the slope of the line, can be determined by calculating the change in y divided by the change in x between any two points on the line. Using the points (0,0) and (2,3), we can calculate the rate of change as follows:
Change in y = 3 - 0 = 3
Change in x = 2 - 0 = 2
Rate of change = Change in y / Change in x = 3 / 2 = 1.5
Therefore, the initial value is 0 and the rate of change is 1.5 for the linear function given in the graph.
The rate of change, or the slope of the line, can be determined by calculating the change in y divided by the change in x between any two points on the line. Using the points (0,0) and (2,3), we can calculate the rate of change as follows:
Change in y = 3 - 0 = 3
Change in x = 2 - 0 = 2
Rate of change = Change in y / Change in x = 3 / 2 = 1.5
Therefore, the initial value is 0 and the rate of change is 1.5 for the linear function given in the graph.