Linear Relationships

Front

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

Back

'm' represents the slope, which is the constant rate of change.

Front

What is the equation that represents Johnny's carnival costs?

Back

y = 2x + 7, where y is the total cost and x is the number of tickets.

Front

True or False: Proportional relationships must go through the origin (0,0).

Back

True.

Front

What equation represents Sally's earnings for babysitting?

Back

y = 6x, where y is the total earnings and x is the number of hours babysat.

Front

Does a graph that does not pass through the origin represent a proportional relationship?

Back

No, because it does not go through the origin.

Front

What is a linear relationship?

Back

A relationship that can be represented by a straight line on a graph.

Front

What is the definition of slope?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

What does the term 'y-intercept' refer to in the equation y=mx+b?

Back

The y-intercept is the value of y when x is 0, represented by 'b' in the equation.

Front

What is a proportional relationship?

Back

A relationship where the ratio between two variables is constant and it passes through the origin.

Front

How do you determine if a relationship is linear?

Back

If the graph of the relationship forms a straight line, it is linear.