To determine the initial value and rate of change of the linear function, we can use the formula for the slope of a line:
slope = (y2 - y1) / (x2 - x1)
Let's choose two points to calculate the slope:
Using (-3,4) and (0,3):
slope = (3 - 4) / (0 - (-3)) = -1 / 3 = -0.333
Therefore, the rate of change is -0.333.
Next, we can choose one point (-3,4) and substitute it into the linear equation y = mx + b to solve for the initial value (y-intercept), b:
4 = -0.333(-3) + b
4 = 1 + b
b = 3
Therefore, the initial value is 3.
Therefore, the linear function is: y = -0.333x + 3.
(-3,4) , (0,3), (3,2), (6,1)
determine the initial value and the rate of change of the linear function as given. round the answer to three decimal places if needed.
the initial value is _, and the rate of change is _.
1 answer