Questions and Answers
What is the definition of a variable?
Any letter in the English or Greek alphabet used in a mathematical expression or equation that takes the place of an unknown number.
What is slope-intercept form?
An equation in the form y = mx + b that represents a linear function where y is the dependent variable, m represents slope, and x is the independent variable.
What is point-slope form?
An equation in the form y - y1 = m (x - x1) where (x1, y1) is an arbitrary point on the line of the graph and m represents slope.
What is an exponential function?
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Study Notes
Key Algebra Concepts
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Variable
A symbol, typically a letter from the English or Greek alphabet, used in mathematical expressions or equations to represent an unknown number. -
Slope-Intercept Form
A specific linear function format expressed as y = mx + b. Here, y is the dependent variable, m denotes the slope of the line, and x is the independent variable. This form makes it easy to identify the slope and y-intercept of the line. -
Point-Slope Form
An equation written as y - y1 = m(x - x1). In this equation, (x1, y1) represents a known point on the line, and m indicates the slope. This form is particularly useful for determining the equation of a line when the y-intercept is not easily identifiable, and it can be transformed into slope-intercept form. -
Exponential Function
A function characterized by a constant base raised to a variable exponent. This type of function typically demonstrates rapid growth or decay, represented in the form f(x) = a * b^x, where a is a constant and b is the base.
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Test your knowledge of linear functions in Algebra 1 with these flashcards. Explore key terms such as variable, slope-intercept form, and point-slope form in a structured format. Perfect for reviewing essential concepts in algebra.
