Parallel & Perpendicular Slopes FLASHCARD

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

What does it mean for two lines to be perpendicular?

Back

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

Front

If the slope of one line is m, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also m.

Front

If the slope of one line is m, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -1/m.

Front

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

Back

The slope is 4.

Front

What is the slope of the line represented by the equation y = -rac{1}{2}x + 3?

Back

The slope is -rac{1}{2}.

Front

Determine if the lines y = 2x + 3 and y = 2x - 5 are parallel, perpendicular, or neither.

Back

They are parallel because they have the same slope of 2.

Front

Determine if the lines y = 3x + 1 and y = -rac{1}{3}x + 2 are parallel, perpendicular, or neither.

Back

They are perpendicular because the product of their slopes (3 and -rac{1}{3}) is -1.

Front

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

Back

y = -rac{2}{3}x + rac{8}{3}.

Front

Write the equation of a line perpendicular to y = 5x - 1 that passes through the point (2, 3).

Back

y = -rac{1}{5}x + rac{16}{5}.