Calculating Slope

Front

What is slope in mathematics?

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

How is slope calculated between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where the y-value remains constant regardless of the x-value.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value remains constant, and the slope cannot be calculated.

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

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

Front

If a line passes through the points (1, 2) and (1, 5), what is the slope?

Back

The slope is undefined because the x-values are the same, indicating a vertical line.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.