Enrichment: Finding Slope

Front

What is the slope?

Back

The 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?

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 the slope of a horizontal line?

Back

The slope of a horizontal line is 0, meaning there is no change in the y-value 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 x-value does not change, leading to division by zero.

Front

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

Back

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

Front

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

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

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

Back

The slope of the line is 3, which indicates a positive slope.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line is -2, indicating a negative slope.

Front

If a line has a slope of 0, what can be said about its equation?

Back

The equation of the line is of the form y = b, where b is a constant, indicating a horizontal line.