Slope Basics Flashcard

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 slope-intercept form of a linear equation.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward trend.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward trend.

Front

What does an undefined slope indicate?

Back

An undefined slope occurs in vertical lines where the change in x is zero, making the slope calculation impossible.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where the y-values remain constant as the x-values change.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

If a line has a slope of 1/6, what does this mean in terms of rise over run?

Back

For every 1 unit the line rises, it runs 6 units horizontally.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is zero.