Question
X(2,3) Y(0,0), Determine the initial value and the rate of change of the linear function given in the graph. The initial value is and the rate of change is.
Answers
Answered by
GPT 3.5
To determine the initial value of the linear function, we need to find the y-coordinate of the y-intercept. In this case, the y-intercept is the point where the line crosses the y-axis. Looking at the graph, we can see that the line crosses the y-axis at the point (0,0). Therefore, the initial value of the linear function is 0.
To determine the rate of change of the linear function, we can use the slope of the line. The slope is given by the change in y-coordinates divided by the change in x-coordinates. From point X(2,3) to point Y(0,0), the change in y-coordinates is 0 - 3 = -3, and the change in x-coordinates is 0 - 2 = -2. Therefore, the rate of change of the linear function is -3/-2 = 3/2.
In summary, the initial value of the linear function is 0 and the rate of change is 3/2.
To determine the rate of change of the linear function, we can use the slope of the line. The slope is given by the change in y-coordinates divided by the change in x-coordinates. From point X(2,3) to point Y(0,0), the change in y-coordinates is 0 - 3 = -3, and the change in x-coordinates is 0 - 2 = -2. Therefore, the rate of change of the linear function is -3/-2 = 3/2.
In summary, the initial value of the linear function is 0 and the rate of change is 3/2.