Interpreting Linear Equations

Front

What does the variable 'y' represent in the equation y = mx + b?

Back

The total amount or output based on the input 'x'.

Front

In the equation y = mx + b, what does 'm' represent?

Back

The slope of the line, indicating the rate of change of 'y' with respect to 'x'.

Front

What does 'b' represent in the equation y = mx + b?

Back

The y-intercept, which is the value of 'y' when 'x' is 0.

Front

How do you interpret the slope in a linear equation?

Back

The slope indicates how much 'y' changes for a one-unit increase in 'x'.

Front

What is the significance of the y-intercept in a real-world context?

Back

It represents the starting value of 'y' when 'x' is zero.

Front

In the equation y = 1.50x + 5 - 0.25x, what does '1.50' represent?

Back

The cost per mile charged to the customer.

Front

In the equation y = 10,000 + 50x, what does '50' represent?

Back

The rate at which water is added to the lake per minute.

Front

If a boat travels at a constant speed, how can this be represented mathematically?

Back

Using a linear equation where 'y' represents distance and 'x' represents time.

Front

What does the equation y = 75 - 30x represent in a fishing scenario?

Back

The distance of the boat from the dock after 'x' hours.

Front

How do you find the total amount made from a service in a linear equation?

Back

By evaluating 'y' in the equation, which represents total earnings.