Unit 5 Part 1 Lessons 1-5 Flashcard Review

Front

What is the slope of a line?

Back

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

Front

How do you calculate 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 the slope of the line represented by the equation y = 6x + 2?

Back

The slope of the line is 6.

Front

If a line has a slope of 0, what does this mean?

Back

A slope of 0 means the line is horizontal and there is no change in y as x changes.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.

Front

In the context of a graph, what does the rate of change represent?

Back

The rate of change represents how much one quantity changes in relation to another quantity, often interpreted as the slope of the line.

Front

If each dance lesson costs $10.00, what is the total cost for x lessons?

Back

The total cost can be calculated as Total Cost = 10 * x.

Front

What is the slope of the line if the coordinates of two points are (2, 4) and (6, 10)?

Back

The slope is m = (10 - 4) / (6 - 2) = 6 / 4 = 3/2.