Multiple Representations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'rate of change' mean in a linear relationship?

Back

The rate of change refers to how much the dependent variable (y) changes for a unit change in the independent variable (x). It is represented by the slope (m) in the equation y = mx + b.

Front

What is the slope (m) in the equation y = 3x + 4?

Back

The slope (m) is 3, which means for every 1 unit increase in x, y increases by 3 units.

Front

How do you identify a proportional relationship?

Back

A proportional relationship is identified when the ratio of the dependent variable to the independent variable is constant, and the graph passes through the origin (0,0).

Front

What is the y-intercept in the equation y = 0.15x + 40?

Back

The y-intercept is 40, which means when x = 0, y equals 40.

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship does not have a constant ratio between the variables and does not pass through the origin.

Front

Write the equation for a situation where the cost is $5 plus $2 per item purchased.

Back

y = 2x + 5, where x is the number of items.

Front

What is the equation for a situation where the cost is $10 for a monthly fee plus $0.20 per minute used?

Back

y = 0.20x + 10, where x is the number of minutes.

Front

If a table shows a constant increase of 5 in y for every increase of 1 in x, what is the slope (m)?

Back

The slope (m) is 5.

Front

How do you find the total cost if the cost is $3 per child and a flat fee of $5?

Back

The equation is y = 3x + 5, where x is the number of children.