To determine the initial value and rate of change of the linear function, we need to find the equation of the line passing through the points given in the graph.
First, let's find the slope using the points (0,3) and (3,2):
Slope = (2-3) / (3-0) = -1 / 3
Next, we can use the point-slope form of the equation of the line:
y - y1 = m(x - x1)
Using the point (0,3):
y - 3 = -1/3(x - 0)
y = -1/3x + 3
Therefore, the initial value is 3, and the rate of change (slope) is -1/3.
So, the initial value is 3 and the rate of change is -0.333.
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 5 to 5 in increments of 1. A downward slanting line is plotted on the coordinate plane. The downward slanting line with arrows on both ends passes through the following closed points: left parenthesis negative 3 comma 4 right parenthesis, left parenthesis 0 comma 3 right parenthesis, left parenthesis 3 comma 2 right parenthesis, and left parenthesis 6 comma 1 right parenthesis.
Determine the initial value and the rate of change of the linear function as given in the graph. Round the answer to three decimal places as needed.
(1 point)
The initial value is
, and the rate of change is
.
1 answer
1 answer