To determine the initial value of the linear function, we can choose any point on the line and use the point-slope formula to find the equation of the line. Let's choose the point (-3, 4).
Next, we calculate the rate of change, which is the slope of the line. We can use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
Using the points (0, 3) and (-3, 4):
slope = (3 - 4) / (0 - (-3))
slope = -1 / 3
Therefore, the initial value of the linear function is 7, and the rate of change is -1/3.
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