Slope (Parallel and Perpendicular Lines)

Front

What is the definition of slope?

Back

The slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you calculate the slope 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, resulting in an upward trend.

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, resulting in a downward trend.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

If two lines are parallel, what can be said about their slopes?

Back

If two lines are parallel, they have the same slope.

Front

If two lines are perpendicular, what can be said about their slopes?

Back

If two lines are perpendicular, the product of their slopes is -1.

Front

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

Back

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