What is a proportional relationship?

A proportional relationship is one where two quantities maintain a constant ratio, represented by the equation $$y = kx$$ , where $$k$$ is a constant.

What is the significance of the slope in a real-world context?

The slope indicates the rate of change between two variables, such as speed or growth rate.

How do you identify corresponding angles when two parallel lines are cut by a transversal?

Corresponding angles are located in the same relative position at each intersection of the transversal with the parallel lines.

What is the formula for calculating the total earnings from services and tips?

The formula is $$y = nx + t$$ , where $$n$$ is the number of services, $$x$$ is the cost per service, and $$t$$ is the total tips.

What does it mean if an equation has infinitely many solutions?

It means that any value of $$x$$ will satisfy the equation, indicating that the two sides of the equation are equivalent.

What is the difference between a linear equation and a non-linear equation?

A linear equation graphs as a straight line, while a non-linear equation graphs as a curve.

What is the definition of a transversal in geometry?

A transversal is a line that intersects two or more lines at different points.

How can you determine if two lines are parallel?

Two lines are parallel if they have the same slope and will never intersect.

What is the relationship between the coefficients in a linear equation and the graph of the equation?

The coefficients determine the slope and y-intercept, which affect the steepness and position of the line on the graph.

8ac CA#1 Flashcards

Student preview

16 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the equation to find the total amount of money earned by Kelly if she did 11 manicures and received $49.50 in tips?

Back

2.

FLASHCARD QUESTION

Front

Back

No, it is not a proportional relationship because it has a y-intercept of 4.

3.

FLASHCARD QUESTION

Front

What are corresponding angles in parallel lines cut by a transversal?

Back

4.

FLASHCARD QUESTION

Front

Back

The slope of 173 means that for each additional year after 1999, the student population increases by 173 students.

5.

FLASHCARD QUESTION

Front

Back

This equation has no solution because it simplifies to a false statement.

6.

FLASHCARD QUESTION

Front

Define a linear equation.

Back

7.

FLASHCARD QUESTION

Front

What is the meaning of the y-intercept in a linear equation?

Back

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