Grade 8 Mathematics Flashcard: Slope and Rate of Change

Front

What does a negative slope indicate in a real-world scenario?

Back

A negative slope indicates a decrease in the dependent variable as the independent variable increases.

Front

Calculate the slope of the line passing through the points (3, 5) and (7, 9).

Back

1

Front

Find the slope of the line that passes through the points (-2, 4) and (1, 7).

Back

3

Front

Find the rate of change when the distance traveled is 120 miles in 3 hours.

Back

40 miles per hour

Front

Determine the slope of the line represented in the graph.

Back

-2/3

Front

What is the formula for calculating slope?

Back

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

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in the dependent variable as the independent variable changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, meaning the x-value does not change while the y-value does.

Front

If a line has a positive slope, what does that indicate about the relationship between the variables?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

How do you interpret the rate of change in a real-world context?

Back

The rate of change represents how one quantity changes in relation to another, often expressed as a ratio or a unit rate.