Rate of Change

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often represented as a slope in a graph.

The equation of a line in slope-intercept form is given by $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

The equation is $$y = x + 2$$ , where $$x$$ is the number of days and $$y$$ is the total number of pictures.

A slope of -3 indicates that for every 1 unit increase in x, y decreases by 3 units.

The slope (m) is calculated using the formula: $$m = \frac{{y2 - y1}}{{x2 - x1}}$$ .

The equation is $$y = 9x$$ .

The rate of change is $$\frac{{45 - 9}}{{5 - 1}} = \frac{{36}}{{4}} = 9$$ .

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

The y-intercept is the value of y when x is 0; it represents the starting point of the line on the y-axis.