Slope and Graphing Lines

Front

What is the definition of slope?

Back

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

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope is 3/4.

Front

What is the slope of a line that falls 2 units for every 5 units it runs?

Back

The slope is -2/5.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the slope of a line parallel to a line with a slope of 2?

Back

The slope of a parallel line is also 2.

Front

What is the slope of a line perpendicular to a line with a slope of -1/2?

Back

The slope of a perpendicular line is 2.

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

How do you determine if two lines are perpendicular using their slopes?

Back

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