(0.5,1)
(0,0)
(-1.5,-3)
Determine the initial value and the rate of change of the linear function as given in the g( aph
(1 point)
The initial value is 6 and the rate of change is 2
The initial value is 2. and the rate of changes 2
The initial value is 0, and the rate of change is2
The initial value is 0, and the rate of change a |1/99|
To determine the initial value and rate of change of the linear function, we can use the formula:
y = mx + b
Where m is the rate of change and b is the initial value.
Using the given points:
(0.5,1)
(0,0)
(-1.5,-3)
Let's find the rate of change by calculating the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
For (0.5,1) and (0,0):
m = (1 - 0) / (0.5 - 0)
m = 1 / 0.5
m = 2
For (0,0) and (-1.5,-3):
m = (-3 - 0) / (-1.5 - 0)
m = -3 / (-1.5)
m = 2
The rate of change (m) is 2.
Now, let's find the initial value (b) by substituting one of the points into the equation and rearranging to solve for b:
Using the point (0,0):
0 = 2(0) + b
0 = b
The initial value (b) is 0.
Therefore, the initial value is 0 and the rate of change is 2.
The correct answer is: The initial value is 0, and the rate of change is 2.