To determine the initial value of the linear function from the graph, we need to identify the y-intercept, which is where the graph intersects the y-axis. In this case, the y-intercept is at the point (0, 2), so the initial value of the linear function is 2.
To determine the rate of change of the linear function from the graph, we can calculate the slope of the graph. The slope is the change in y divided by the change in x, which can be calculated by selecting any two points on the line and using the formula: slope = (y2 - y1) / (x2 - x1).
Let's choose two points from the graph. If we select the points (1, 4) and (3, 8), we can calculate the slope as:
slope = (8 - 4) / (3 - 1) = 4 / 2 = 2
Therefore, the rate of change of the linear function is 2.
In summary, the initial value of the linear function is 2 and the rate of change is 2.
Determine the initial value and the rate of change of the linear function as given in the graph.
2 answers
it is 0 and 3/2
1 answer