Slope and Functions Practice Flashcard 2025

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line.

Front

What are the types of slope?

Back

1. Positive Slope: Line rises from left to right. 2. Negative Slope: Line falls from left to right. 3. Zero Slope: Horizontal line. 4. Undefined Slope: Vertical line.

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.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

Is the relation {(1,2), (1,3), (2,4)} a function?

Back

No, because the x-value 1 has two y-values (2 and 3) associated with it.

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept?

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

How can you determine if a set of values represents a function?

Back

Check if any x-value is repeated with different y-values; if so, it is not a function.