Linear Word Problems

Front

What is a linear equation in slope-intercept form?

Back

A linear equation in slope-intercept form is expressed as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope in a linear equation?

Back

The slope is the coefficient of x in the equation, representing the rate of change.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0, indicating the starting point of the linear relationship.

Front

How can you write an equation for a situation involving savings over time?

Back

The equation can be written as y = mx + b, where m is the amount saved per time period, and b is the initial amount.

Front

What is the significance of the initial value in a linear equation?

Back

The initial value is the starting amount before any changes occur, often represented by b in the equation.

Front

How do you determine the total amount of money after working a certain number of hours?

Back

You can use the equation y = mx + b, where m is the hourly wage, x is the number of hours worked, and b is the initial amount of money.

Front

What is the equation for a situation with a startup fee and a monthly fee?

Back

The equation can be written as y = mx + b, where m is the monthly fee, and b is the startup fee.

Front

How do you find the rate from a linear equation?

Back

The rate can be found as the coefficient of x in the equation.

Front

What does a negative slope indicate in a linear equation?

Back

A negative slope indicates that as x increases, y decreases, representing a loss or decrease in value.

Front

How can you model a situation where money is being spent over time?

Back

You can model it with an equation like y = -mx + b, where m is the amount spent per time period.