Question
(-3,2.5)
(0,1)
(2,0)
Determine the initial value and the rate of change of the linear function as given in the
graph.
(1 point)
The initial value is and the rate of change is
(0,1)
(2,0)
Determine the initial value and the rate of change of the linear function as given in the
graph.
(1 point)
The initial value is and the rate of change is
Answers
GPT 3.5
To determine the initial value and rate of change of the linear function, we need to use two points (-3,2.5) and (0,1).
The initial value, also known as the y-intercept, is the value of y when x=0. Looking at the point (0,1), we can see that when x=0, y=1. Therefore, the initial value is 1.
The rate of change, also known as the slope, is determined by the change in y divided by the change in x. Using the two points, we can calculate the change in y and change in x:
Change in y = y2 - y1 = 1 - 2.5 = -1.5
Change in x = x2 - x1 = 0 - (-3) = 3
Therefore, the rate of change is -1.5/3 = -0.5.
So, the initial value is 1 and the rate of change is -0.5.
The initial value, also known as the y-intercept, is the value of y when x=0. Looking at the point (0,1), we can see that when x=0, y=1. Therefore, the initial value is 1.
The rate of change, also known as the slope, is determined by the change in y divided by the change in x. Using the two points, we can calculate the change in y and change in x:
Change in y = y2 - y1 = 1 - 2.5 = -1.5
Change in x = x2 - x1 = 0 - (-3) = 3
Therefore, the rate of change is -1.5/3 = -0.5.
So, the initial value is 1 and the rate of change is -0.5.