Slope intercept from word problems

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 the context of the problem, often described as 'per unit' (e.g., dollars per hour, feet per minute).

The y-intercept represents the starting value or initial condition before any changes occur, such as fixed costs or initial amounts.

In this equation, 30 is the slope (cost per hour), and 20 is the y-intercept (initial transportation fee).

Identify the fixed costs (y-intercept) and the variable costs (slope), then express the relationship in the form y = mx + b.

A negative slope indicates a decrease in value over time or with each unit, such as spending money or losing height.

This equation indicates that Sandra starts with $20 and spends $3 each month, decreasing her balance over time.

The variable 'x' usually represents the independent variable, often time or quantity, depending on the context of the problem.

By identifying the hourly rate (slope) and any fixed fees (y-intercept), you can write the equation to calculate total cost.

Read the problem carefully to identify the quantities involved and their relationships, including fixed and variable costs.