8 - Interpreting Linear Equations

Front

What does the rate of change represent?

Back

The amount of miles rode on the bike per minute.

Front

Which equation shows the number of bottles left after x days if a family buys a case of water with 48 bottles and drinks 5 bottles per day?

Back

y = 48 - 5x.

Front

In the equation E = 300m + 40,000, what does the 300 represent?

Back

Commission earned PER machine.

Front

If Bob has $150 in his savings account and saves $40 per month, which equation represents his savings after x months?

Back

40x + 150.

Front

What equation represents the total cost of 5 CDs plus $6 tax if the total is $61?

Back

5x + 6 = 61.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope of a linear equation represent?

Back

The rate of change of the dependent variable with respect to the independent variable.

Front

What is the y-intercept in a linear equation?

Back

The value of y when x is 0, represented as b in the equation y = mx + b.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean if a linear equation has a negative slope?

Back

As the independent variable increases, the dependent variable decreases.