Its graph is a line with slope m and y-intercept b. A linear relationship has a constant rate of change. You can find the rate of change m and the initial value b for a linear situation from a …

Learn what are the initial value and rate of change of a function. See how to find the initial value and rate of change of a function, such as a linear function.

Students interpret slope as rate of change and relate slope to the steepness of a line and the sign of the slope, indicating that a linear function is increasing if the slope is positive and …

Given two lines each with positive slope, the function represented by the steeper line has a greater rate of change. The initial value of a linear function is the value of the y-variable when …

Two parameters are present in the linear function: the parameter a, a, called the rate of change or slope, and the parameter b, b, called the y y -intercept or the initial value.

The rate of change is the slope of the graph, and the initial value is the value of \ (f (0)\text {.}\) On the graph of \ (f\text {,}\) the initial value corresponds to the point that lies on the vertical axis. …

Every linear pattern can be described by a function of the form: dependent variable = (rate of change) · (independent variable) + initial value. where initial value is defined as the value of …

To find the rate of change (slope), use the formula m = f (b) f (a) b a, where f (b) f (a) is the change in y-values and b a is the change in x-values. To find the initial value (y-intercept), set …

What is the initial value and the rate of change for the function represented by the given graph? As our graph is a straight line, we know that the function will be linear.

Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph.