Module 5 Review - Slope and Proportional Relationships

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

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

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how many units of one quantity correspond to one unit of another quantity.

Front

If you earn $10 for each car washed, what is the unit rate?

Back

The unit rate is $10 per car.

Front

What is the difference between discrete and continuous data?

Back

Discrete data consists of distinct or separate values (e.g., number of cars washed), while continuous data can take any value within a range (e.g., speed in miles per hour).

Front

What type of data is represented by Sophia's average speed of 72 m.p.h.?

Back

Continuous data, as speed can take any value within a range.

Front

If a line has a slope of 1/2, what does this mean in terms of rise and run?

Back

For every 2 units you move horizontally (run), the line rises 1 unit vertically.

Front

How do you calculate the cost per pound if you spend $40 on 5 pounds of concrete?

Back

The unit rate is calculated as $40 / 5 pounds = $8 per pound.