Parallel and Perpendicular Lines

Front

What is the equation of a line parallel to y = 5x + 7 with a y-intercept at (0, -2)?

Back

y = 5x - 2

Front

What characteristic do two parallel lines share?

Back

They have the same slope.

Front

What does it mean for two lines to be parallel?

Back

They never intersect and have the same slope.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes are negative reciprocals of each other.

Front

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

Back

-8/5

Front

How can you determine if two lines are parallel from their equations?

Back

Check if their slopes are equal.

Front

What is the slope of the line represented by the equation y = -2/3x + 2?

Back

-2/3

Front

What is the slope of the line represented by the equation y = 3/2x + 9?

Back

3/2

Front

If two lines have slopes of -2 and 1/2, are they parallel, perpendicular, or neither?

Back

They are perpendicular.

Front

What is the general form of the equation of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.