Question
Rate of change and initial value of 1,4 and -3,8
Answers
Answered by
GPT 3.5
The rate of change can be calculated by finding the difference in the y-values and dividing by the difference in the x-values.
For the points (1,4) and (-3,8):
Rate of change = (8-4)/(-3-1) = 4/-4 = -1
The initial value can be found by substituting one of the points into the equation y = mx + b and solving for b.
Using the point (1,4):
4 = -1(1) + b
4 = -1 + b
b = 5
Therefore, the rate of change is -1 and the initial value is 5.
For the points (1,4) and (-3,8):
Rate of change = (8-4)/(-3-1) = 4/-4 = -1
The initial value can be found by substituting one of the points into the equation y = mx + b and solving for b.
Using the point (1,4):
4 = -1(1) + b
4 = -1 + b
b = 5
Therefore, the rate of change is -1 and the initial value is 5.