parallel/perpedicular/slope review

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the ratio of the rise (change in y) over the run (change in x).

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

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

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other. If one line has a slope of m, the other will have a slope of -1/m.

Front

If a line has a slope of 3, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is -1/3.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

If two lines have slopes of 2 and 2, what can we say about them?

Back

The two lines are parallel.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.