Post test Unit 8.3. Proportional and Linear Relationship

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What does the slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) represents the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How do you determine if a relationship is linear?

Back

A relationship is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope of the line?

Back

The slope is 2, calculated as (6-2)/(3-1).

Front

What is the difference between proportional and linear relationships?

Back

Proportional relationships pass through the origin (0,0) and have a constant ratio, while linear relationships can have any y-intercept.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run (change in y over change in x).

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect.

Front

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

Back

The formula is m = (y2 - y1) / (x2 - x1).