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. An upward slanting line is plotted on the coordinate plane. The upward slanting line with arrows on both ends passes through the following closed points: left parenthesis 0 comma 0 right parenthesis and left parenthesis 2 comma 3 right parenthesis.
Determine the initial value and the rate of change of the linear function given in the graph.
(1 point)
The initial value is
, and the rate of change is
.
I apologize for the mistake. Upon reviewing the information provided, the initial value is indeed 0, but the rate of change is 1.5.
The initial value is 0, and the rate of change is 1.
ARE YOU SURE
The initial value is
, and the rate of change is
.
Skip to navigation
I apologize for the omission. The initial value is 0, and the rate of change is 1.5.
To determine the initial value and the rate of change of the linear function given in the graph, we need to look at the points where the line passes through.
Looking at the given closed points, we find that the line passes through the point (0,0) and (2,3).
The initial value, also known as the y-intercept, can be found by looking at the point where the line crosses the y-axis, which is when the x-coordinate is 0. In this case, the line passes through the point (0,0), which means that the initial value is 0.
The rate of change, also known as the slope, can be determined by calculating the difference in the y-coordinates divided by the difference in the x-coordinates between the two points. In this case, the difference in the y-coordinates is 3 - 0 = 3, and the difference in the x-coordinates is 2 - 0 = 2. Therefore, the rate of change is 3/2.
So, the initial value is 0 and the rate of change is 3/2.