In this equation (Slope Intercept Form of a linear equation), y = mx + b, which variable relates to the domain and which one relates to the range of a function?

Review the definition here:

http://www.analyzemath.com/DomainRange/DomainRange.html

x relates to the domain and y to the range of the function y(x).

If it were rewritten as x(y) = (y-b)/m, the reverese would be true.

In the equation y = mx + b, the variable x relates to the domain of the function, while the variable y relates to the range of the function.

To understand this, let's break down the equation. In the slope-intercept form, y represents the dependent variable (output) and x represents the independent variable (input). The variable m represents the slope, which determines the rate of change of the function, and b represents the y-intercept, which is the point where the graph intersects the y-axis.

The domain of a function refers to the set of all possible input values (x-values), while the range refers to the set of all possible output values (y-values). In this equation, since y is the dependent variable, it takes on different values depending on the value of x. Therefore, y is associated with the range. On the other hand, x is the independent variable, meaning it can take on any value as the input, hence x is associated with the domain.