Unit 5 (4.1 & 4.2) Flashcard Review

Front

What is the formula to calculate the slope of a line 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 slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does a positive slope indicate about the relationship between two variables?

Back

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

Front

What does a negative slope indicate about the relationship between two variables?

Back

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

Front

How do you find the slope of a line given two points (2, 4) and (6, 12)?

Back

Use the formula: m = (12 - 4) / (6 - 2) = 8 / 4 = 2.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -1, what does this tell you about the line's direction?

Back

A slope of -1 indicates that the line descends at a 45-degree angle from left to right.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

How can you determine the slope from a graph of a line?

Back

You can determine the slope by selecting two points on the line, calculating the rise (change in y) and run (change in x), and then using the formula m = rise/run.

Front

What is the slope between the points (3, 7) and (-4, 2)?

Back

The slope is (2 - 7) / (-4 - 3) = -5 / -7 = 5/7.