HW #2.3 - Slope in Context

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What does a slope of zero mean?

Back

A slope of zero means that there is no change in the vertical direction; the line is horizontal.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no horizontal change.

Front

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

Back

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

Front

In the context of a flower's growth, what does the slope represent?

Back

The slope represents the rate of growth of the flower, typically in inches per day.

Front

If Hank loses 1.5 pounds per week, what does this slope represent?

Back

This slope represents the rate at which Hank's weight decreases over time.

Front

In the equation h=800-8t, what does the number 8 represent?

Back

The number 8 represents the rate at which the elevator descends, in feet per second.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is zero; it represents the starting point of the line.