How do you determine the slope from a linear equation in the form $$y = mx + b$$ ?

The slope is the coefficient of $$x$$ , represented by $$m$$ .

A function is a relation that assigns exactly one output for each input.

What does it mean for a function to be linear?

A linear function has a constant rate of change and can be represented by a straight line on a graph.

How do you identify a linear function from a graph?

A linear function will show a straight line with a constant slope.

What is the significance of the x-intercept in a linear function?

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

What is the relationship between the coefficients in the equation $$y = mx + b$$ and the graph of the function?

The coefficient $$m$$ determines the slope, while $$b$$ determines the y-intercept.

How can you determine if a table of values represents a linear function?

If the differences between consecutive y-values divided by the differences between consecutive x-values are constant, it is linear.

What is the meaning of the term 'rate of change' in the context of linear functions?

The rate of change refers to how much $$y$$ changes for a unit change in $$x$$ , represented by the slope $$m$$ .

How do you interpret the function $$f(n) = -3n + 24$$ in a real-world context?

This function indicates that for every increase of 1 in $$n$$ , $$f(n)$$ decreases by 3, starting from 24.

Algebra STAAR Review A.2C Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

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

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

What does the y-intercept represent in a linear function?

Back

4.

FLASHCARD QUESTION

Front

What is the meaning of a negative slope in a linear function?

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What is the standard form of a linear equation?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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