Types of 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

How is slope calculated?

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

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 does a negative slope indicate?

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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is 0, leading to division by zero.

Front

If a line has a slope of 4/1, what does this mean?

Back

A slope of 4/1 means that for every 1 unit increase in x, the y-value increases by 4 units.

Front

If a line has a slope of -1, what does this mean?

Back

A slope of -1 means that for every 1 unit increase in x, the y-value decreases by 1 unit.

Front

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

Back

The slope of the line is 2, indicating that for every 1 unit increase in x, y increases by 2 units.

Front

What is the slope of the line represented by the equation y = -3x + 1?

Back

The slope of the line is -3, indicating that for every 1 unit increase in x, y decreases by 3 units.