What is the y-intercept in the equation $$f(x) = mx + b$$ ?

The y-intercept is the value of $$f(x)$$ when $$x = 0$$ . It is represented by $$b$$ in the equation.

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

The x-intercept is the point where the graph of the function crosses the x-axis, indicating the value of $$x$$ when $$f(x) = 0$$ .

How can you determine the y-intercept from the equation $$f(x) = 65x + 90$$ ?

The y-intercept can be determined by identifying the constant term, which is 90 in this case.

What is the graphical representation of a linear function?

The graphical representation of a linear function is a straight line on a coordinate plane.

What does a negative slope indicate about a linear function?

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

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

To convert from slope-intercept form $$f(x) = mx + b$$ to standard form $$Ax + By = C$$ , rearrange the equation to isolate terms on one side.

What is the slope of the line represented by the equation $$f(x) = -\frac{1}{3}x + 4$$ ?

The slope of the line is $$-\frac{1}{3}$$ .

What is the relationship between parallel lines in terms of their slopes?

Parallel lines have the same slope, meaning they rise and run at the same rate but do not intersect.

What is the relationship between perpendicular lines in terms of their slopes?

Perpendicular lines have slopes that are negative reciprocals of each other, meaning if one slope is $$m$$ , the other is $$-\frac{1}{m}$$ .

Linear Functions Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear function?

Back

2.

FLASHCARD QUESTION

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

5.

FLASHCARD QUESTION

Front

What is the standard form of a linear equation?

Back

6.

FLASHCARD QUESTION

Front

What does the term 'rate of change' refer to in linear functions?

Back

The rate of change refers to the slope of the linear function, indicating how much the output value changes for a unit change in the input value.

7.

FLASHCARD QUESTION

Front

Back

The 105 represents the one-time fee for the car rental.

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