Slope from two points

Front

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

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope indicates a vertical line, where the x-coordinates of the two points are the same.

Front

How do you determine if a slope is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a zero slope is a horizontal line.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Given the points (2, 3) and (4, 7), what is the slope of the line connecting them?

Back

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

Front

If the slope of a line is -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line falls steeply from left to right.

Front

How can you tell if two lines are parallel based on their slopes?

Back

Two lines are parallel if they have the same slope.

Front

How can you tell if two lines are perpendicular based on their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope of the line that passes through the points (1, 2) and (1, 5)?

Back

The slope is undefined because the x-coordinates are the same.