Parallel and Perpendicular Slopes

Front

What is the definition of parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts.

Front

How do you find the equation of a line parallel to a given line?

Back

To find the equation of a line parallel to a given line, use the same slope as the given line and the point through which the new line passes.

Front

What is the slope of the line given by the equation y = (1/3)x - 4?

Back

The slope of the line is 1/3.

Front

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

Back

The slopes of two perpendicular lines are opposite reciprocals of each other.

Front

If a line has a slope of 5/8, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -8/5.

Front

Write the equation of a line that is parallel to y = (-3/5)x - 3 and passes through the point (5, -1).

Back

y = (-3/5)x + 2.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if two lines are parallel by looking at their equations?

Back

Two lines are parallel if their slopes (m) are equal.

Front

What is the slope of the line given by the equation y = (-3/5)x + 2?

Back

The slope of the line is -3/5.

Front

If two lines have slopes of 2 and -1/2, are they perpendicular?

Back

Yes, because their slopes are opposite reciprocals (2 and -1/2).