IM Grade 8 Unit 3 Lessons 1-7

Front

What is the slope of a line?

Back

The slope of a line is the measure of its steepness, often represented as the ratio of the rise (change in y) over the run (change in x).

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

Write the equation of a proportional relationship where y is directly proportional to x with a constant of proportionality of 6.

Back

y = 6x.

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 y-intercept in the equation of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear function where m is the slope and b is the y-intercept.

Front

How can you determine if a table represents a linear relationship?

Back

A table represents a linear relationship if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.