Slopey Slope

Front

What is the formula to calculate the slope of a line between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does a positive slope indicate about the direction of a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about the direction of a line?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

The slopes of parallel lines are equal.

Front

If two lines are perpendicular, how are their slopes related?

Back

The slopes of perpendicular lines are negative reciprocals of each other.

Front

How do you find the slope of a line given two points (10, 1) and (5, 2)?

Back

Use the formula: m = (y2 - y1) / (x2 - x1). Here, m = (2 - 1) / (5 - 10) = 1 / -5 = -1/5.

Front

What is the slope of the line that passes through the points (6, 7) and (4, 2)?

Back

The slope is calculated as m = (2 - 7) / (4 - 6) = -5 / -2 = 5/2.

Front

What is the slope represented in the table if it shows a value of 4?

Back

The slope represented in the table is 4.