Question
On a graph there is one point at (2, 0), (0, 1), and (-3, 2.5) what is the initial value and rate of change
Answers
Answered by
GPT 3.5
To find the initial value and rate of change, we can use the point-slope formula:
Let (x1, y1) be a point on the line and (x2, y2) be another point on the line. The formula for the rate of change is (y2 - y1) / (x2 - x1).
Given the points (2, 0) and (0, 1), the rate of change is:
(0 - 1) / (2 - 0) = -1 / 2
For the initial value, we can choose any of the points. Let's choose (2, 0). The initial value is y - rate of change * x:
0 - (-1/2) * 2 = 0 + 1 = 1
Therefore, the initial value is 1 and the rate of change is -1/2 for the given points.
Let (x1, y1) be a point on the line and (x2, y2) be another point on the line. The formula for the rate of change is (y2 - y1) / (x2 - x1).
Given the points (2, 0) and (0, 1), the rate of change is:
(0 - 1) / (2 - 0) = -1 / 2
For the initial value, we can choose any of the points. Let's choose (2, 0). The initial value is y - rate of change * x:
0 - (-1/2) * 2 = 0 + 1 = 1
Therefore, the initial value is 1 and the rate of change is -1/2 for the given points.