Parallel and Perpendicular Lines

Front

What are the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

What are the slopes of parallel lines?

Back

The slopes of parallel lines are identical.

Front

If the slope of a line is m = -3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to m = -3 is m = \frac{1}{3}.

Front

Write the equation of a line parallel to y = -\frac{1}{2}x + 3 that goes through the point (4, -1).

Back

The equation is y + 1 = -\frac{1}{2}(x - 4).

Front

What is the slope of the line represented by the equation y = 5x - 7?

Back

The slope of the line is 5.

Front

What is the slope of the line represented by the equation y = -5x - 3?

Back

The slope of the line is -5.

Front

If two lines have slopes of 2 and -\frac{1}{2}, are they parallel, perpendicular, or neither?

Back

They are perpendicular because their slopes are opposite reciprocals.

Front

What is the slope of a line that is parallel to the line y = 3x + 2?

Back

The slope of a line parallel to y = 3x + 2 is 3.

Front

What is the slope of a line that is perpendicular to the line y = \frac{1}{4}x + 1?

Back

The slope of a line perpendicular to y = \frac{1}{4}x + 1 is -4.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = \frac{y2 - y1}{x2 - x1}.