Algebra Vocabulary

Front

What is the definition of 'rate of change'?

Back

The rate of change describes how a quantity changes in relation to another quantity, often represented as the slope of a line on a graph.

Front

What does f(4) represent in function notation?

Back

f(4) represents the output of the function f when the input is 4, often visualized as the y-coordinate of the point (4, f(4)) on a graph.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, typically represented as x = a, where a is the x-coordinate of the vertex.

Front

What is the definition of 'slope'?

Back

The slope is a measure of the steepness of a line, calculated as the ratio of the rise (change in y) to the run (change in x).

Front

What does the equation y - 3 = -2(x + 6) represent?

Back

This equation is in point-slope form, indicating a line with a slope of -2 that passes through the point (-6, 3).

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation y = mx + b.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

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, characterized by a constant rate of change (slope).