Parallel and Perpendicular Lines

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What can be concluded about two lines that have the same slope and different y-intercepts?

They are parallel. (correct)

They intersect at a 90-degree angle.

They are perpendicular.

They are the same line.

What is the relationship between the slopes of perpendicular lines?

They are negative reciprocals. (correct)

They are opposite numbers.

They are the same.

They are different.

How can you determine if two lines are parallel?

By checking if they have different slopes.

By checking if they intersect at a 90-degree angle.

By checking if they have the same slope. (correct)

By checking if they have the same y-intercept.

What is the slope of a line that is parallel to the line x – y = 5?

1 Signup and view all the answers

What is the equation of a line that is parallel to the line x – y = 5 and goes through the point (−2, 1)?

y = x + 3 Signup and view all the answers

How do you find the slope of a parallel line?

By using the same slope as the given line. Signup and view all the answers

What is the slope of the line perpendicular to y = 3x + 5?

-3 Signup and view all the answers

What is the equation of the line that passes through (4, 2) and is parallel to the line 10x – 5y = 5?

y = 2x - 6 Signup and view all the answers

What is the equation of the line that contains the point (1, 3) and is perpendicular to the line y = 3x + 5?

y = -3x + 10 Signup and view all the answers

What is the equation of the line that contains the point (3, 1) and is perpendicular to the line y = 2x + 7?

y = -1/2x + 5 Signup and view all the answers

What is the definition of probability?

The chance that something will happen Signup and view all the answers

What is the slope of the line that contains the point (1, 5) and is perpendicular to the line -3x + y = 5?

-3 Signup and view all the answers

What is the total number of outcomes in a spinner with five distinct parts?

5 Signup and view all the answers

What is the notation form for the sample set of a standard deck of cards?

S = {Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King} Signup and view all the answers

What is the term for the result of an action?

Outcome Signup and view all the answers

What is the relationship between the sample space and the outcomes in an event?

The sample space is always greater than the outcomes in an event Signup and view all the answers

What is the term for one of the possible outcomes in an experiment?

Sample Point Signup and view all the answers

How many cards are there in a standard deck of cards, excluding the jokers?

52 Signup and view all the answers

What is the probability of an event denoted by?

P(E) = n(E) / n(S) Signup and view all the answers

What is the range of probability values?

0 to 1 Signup and view all the answers

What does a higher probability mean?

The event is more likely to happen Signup and view all the answers

What is the formula for calculating the probability of an event?

P(E) = n(E) / n(S) Signup and view all the answers

What is the purpose of probability?

To measure the relative likelihood of an event occurring Signup and view all the answers

What is the term for the set of all possible outcomes of an experiment?

Sample Space Signup and view all the answers

How many times was the coin tossed in the first experiment?

40 Signup and view all the answers

What is the estimated probability of getting a head in the first experiment?

0.55 Signup and view all the answers

How many times was the die rolled in the second experiment?

100 Signup and view all the answers

What are the odds of drawing a diamond from the jewelry box?

5:8 Signup and view all the answers

What are the odds of drawing a black ballpen from the case?

4:5 Signup and view all the answers

What are the odds of an event happening if its probability is 7/10?

7:3 Signup and view all the answers