Calculating Slope

Front

What is 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

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 trend.

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 trend.

Front

What is a zero slope?

Back

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

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the x-value remains constant, leading to division by zero in the slope formula.

Front

Calculate the slope of the line through points (2, 3) and (4, 7).

Back

The slope is 2.

Front

Calculate the slope of the line through points (1, 1) and (1, 5).

Back

The slope is undefined.

Front

Calculate the slope of the line through points (0, 0) and (5, 0).

Back

The slope is 0.

Front

What type of slope does the line y = 2x + 3 have?

Back

The slope is positive.