Calculate the distance between the points (1, 2) and (1, 5).

Using the distance formula: $$d = \\sqrt{(1 - 1)^2 + (5 - 2)^2} = \\sqrt{0 + 9} = 3$$ .

Find the distance between the points (6, 8) and (2, 3).

Using the distance formula: $$d = \\sqrt{(2 - 6)^2 + (3 - 8)^2} = \\sqrt{16 + 25} = \\sqrt{41} \\approx 6.4$$ .

What does a positive slope indicate about a line?

A positive slope indicates that the line rises as it moves from left to right.

What does a negative slope indicate about a line?

A negative slope indicates that the line falls as it moves from left to right.

Calculate the slope between the points (3, 7) and (3, 2).

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

What is the distance between the points (0, 0) and (5, 12)?

Using the distance formula: $$d = \\sqrt{(5 - 0)^2 + (12 - 0)^2} = \\sqrt{25 + 144} = \\sqrt{169} = 13$$ .

If two points have the same y-coordinate, what can be said about the slope between them?

The slope is 0, indicating a horizontal line.

Distance and Slope Flashcards

Student preview

16 questions

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1.

FLASHCARD QUESTION

Front

What is the distance formula used to calculate the distance between two points (x1, y1) and (x2, y2)?

Back

2.

FLASHCARD QUESTION

Front

What is the slope formula used to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

3.

FLASHCARD QUESTION

Front

Calculate the distance between the points (3, 4) and (7, 1).

Back

4.

FLASHCARD QUESTION

Front

What is the slope of the line that passes through the points (2, 3) and (5, 11)?

Back

5.

FLASHCARD QUESTION

Front

If the slope of a line is 0, what does this indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

6.

FLASHCARD QUESTION

Front

If the slope of a line is undefined, what does this indicate about the line?

Back

An undefined slope indicates that the line is vertical.

7.

FLASHCARD QUESTION

Front

Find the distance between the points (-1, -1) and (4, 5).

Back

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