Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What does a zero slope represent?

Back

A zero slope represents a horizontal line where there is no vertical change as the x-value changes.

Front

What does an undefined slope represent?

Back

An undefined slope represents a vertical line where there is no horizontal change as the x-value changes.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

If a line passes through the points (2, 3) and (5, 7), what is the slope?

Back

Slope = (7 - 3) / (5 - 2) = 4 / 3.

Front

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

Back

The slope of a perfectly horizontal line is 0.

Front

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

Back

The slope of a perfectly vertical line is undefined.

Front

If a line has a slope of 5/2, what does this indicate about the line's steepness?

Back

A slope of 5/2 indicates that for every 2 units moved horizontally, the line rises 5 units vertically, making it relatively steep.