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.

What is the relationship between the slopes of perpendicular lines?

They are negative reciprocals.

How can you determine if two lines are parallel?

By checking if they have the same slope.

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

1

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

How do you find the slope of a parallel line?

By using the same slope as the given line.

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

-3

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

y = 2x - 6

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

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

What is the definition of probability?

The chance that something will happen

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

-3

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

5

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}

What is the term for the result of an action?

Outcome

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

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

Sample Point

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

52

What is the probability of an event denoted by?

P(E) = n(E) / n(S)

What is the range of probability values?

0 to 1

What does a higher probability mean?

The event is more likely to happen

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

P(E) = n(E) / n(S)

What is the purpose of probability?

To measure the relative likelihood of an event occurring

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

Sample Space

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

40

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

0.55

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

100

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

5:8

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

4:5

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

7:3

Determine whether given lines are parallel, perpendicular, or neither. Learn to identify slopes and y-intercepts to classify lines.

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