Parallel and Perpendicular Lines

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 two lines have slopes m1 and m2, what condition must be met for the lines to be parallel?

Back

For two lines to be parallel, their slopes must be equal: m1 = m2.

Front

If two lines have slopes m1 and m2, what condition must be met for the lines to be perpendicular?

Back

For two lines to be perpendicular, the product of their slopes must equal -1: m1 * m2 = -1.

Front

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

Back

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

Front

What is the slope of the line perpendicular to y = -4x + 1?

Back

Front

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

Back

The equation is y = 3x + 2.

Front

Write the equation of a line perpendicular to y = 1/2x - 3 that passes through the point (4, 1).

Back

The equation is y = -2x + 9.

Front

What is the slope of the line represented by the equation y = -6x + 4?

Back

The slope of the line is -6.

Front

Determine the slope of a line that is perpendicular to a line with a slope of 3.

Back