IM Grade 8 Unit 3 Lessons 1-7

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant, and it must pass through the origin (0,0).

Front

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

Back

In the equation y=mx+b, 'm' represents the slope, which is the constant rate of change or the unit rate.

Front

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

Back

In the equation y=mx+b, 'b' represents the y-intercept, which is the starting point where the line crosses the y-axis.

Front

What are the different ways to represent linear relationships?

Back

Linear relationships can be represented using verbal descriptions, equations, graphs, and tables.

Front

What is the value of 'b' in the equation y=2x?

Back

The value of 'b' in the equation y=2x is 0.

Front

What is the slope of the line represented by the equation y=3x+0?

Back

The slope of the line represented by the equation y=3x+0 is 3.

Front

How do you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratio of the values in the table remains constant.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for finding the slope is m = (y2 - y1) / (x2 - x1).

Front

What does a linear graph look like?

Back

A linear graph is a straight line that represents a constant rate of change.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1.