Creating Linear Equations

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

The slope represents the rate of change in cost per unit, such as dollars per hour or dollars per item.

The y-intercept represents the fixed cost or initial fee before any additional charges are applied.

The equation can be written in the form y = mx + b, where m is the variable cost per unit and b is the fixed fee.

Inequalities represent constraints, such as a budget limit, indicating that the total cost must not exceed a certain amount.

Identify the fixed costs, variable costs, and the relationship between the variables to formulate the equation.

Total Cost = Fixed Fee + (Variable Rate * Number of Units) or hours.

The solution represents the specific value of the variable that satisfies the equation, such as the number of hours until a certain cost is reached.

Variables represent quantities that can change, such as time, number of items, or hours rented.

Start at the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run to plot additional points.