Determine the initial value and the rate of change of the linear function given in the graph.

Question

(1 point)
The initial value is
, and the rate of change is

Answer 1

To determine the initial value and the rate of change of a linear function from its graph, follow these steps:

1. Initial Value (y-intercept): This is the point where the line crosses the y-axis. It represents the value of the function when the input (x) is zero.

2. Rate of Change (slope): This is determined by taking two points on the line. The formula for the slope is: \[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \] This gives the change in the y-value divided by the change in the x-value between two points on the line.

If you can provide the specific graph or the coordinates of points on the line, I can help you calculate the initial value and the rate of change more accurately.