How do you convert from standard form to slope-intercept form?

To convert from standard form $$Ax + By = C$$ to slope-intercept form, solve for $$y$$ to get $$y = -\frac{A}{B}x + \frac{C}{B}$$ .

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

The y-intercept is the point where the line crosses the y-axis, representing the value of $$y$$ when $$x = 0$$ .

How do you identify the domain from a graph?

The domain can be identified by looking at the x-values that the graph covers.

What is a linear relationship?

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

What does it mean for a function to decrease at a constant rate?

It means that for every unit increase in the input, the output decreases by a fixed amount.

How do you find the equation of a line given a point and a slope?

Use the point-slope form $$y - y_1 = m(x - x_1)$$ , substituting the given point and slope.

What is the maximum number of groups if each group has 4 students and there are 28 students?

The maximum number of groups is $$\frac{28}{4} = 7$$ .

How do you represent a set of discrete values?

A set of discrete values can be represented using curly braces, e.g., $$\text{{\textbackslash{}left\textbraceleft}0, 1, 2, 3, 4, 5, 6, 7\text{{\textbackslash{}right\textbraceleft}}$$ .

20241209 Practice Assignment Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

2.

FLASHCARD QUESTION

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

3.

FLASHCARD QUESTION

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

4.

FLASHCARD QUESTION

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

5.

FLASHCARD QUESTION

Front

How do you find the slope of a line given two points?

Back

6.

FLASHCARD QUESTION

Front

What is point-slope form of a linear equation?

Back

7.

FLASHCARD QUESTION

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, which means it has a constant rate of change.

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