Parallel and Perpendicular

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals of each other.

Front

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

Back

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

Front

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

Back

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

Front

Determine the slope of the line represented by the equation y = -4x + 5.

Back

The slope of the line is -4.

Front

What is the slope of a line perpendicular to y = 1/2x - 3?

Back

The slope of a line perpendicular to y = 1/2x - 3 is -2.

Front

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

Back

The equation is y = 2x + 1.

Front

Write the equation of a line perpendicular to y = -x + 4 that passes through the point (2, 1).

Back

The equation is y = x - 1.

Front

Are the lines y = 2x + 3 and y = 2x - 5 parallel?

Back

Yes, they are parallel because they have the same slope.

Front

Are the lines y = 1/3x + 2 and y = -3x + 1 perpendicular?

Back

Yes, they are perpendicular because the product of their slopes (1/3 * -3) equals -1.