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 two perpendicular lines are negative reciprocals of each other.

Front

If a line has a slope of 3, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is -1/3.

Front

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

Back

y = 2x + 1.

Front

Write the equation of a line that is perpendicular to y = -4x + 7 and passes through the point (2, 1).

Back

y = (1/4)x + 1/2.

Front

What is the slope of the line represented by the equation y = 5x - 3?

Back

The slope is 5.

Front

Determine if the lines y = 2x + 1 and y = 2x - 4 are parallel, perpendicular, or neither.

Back

They are parallel.

Front

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

Back

They are perpendicular.

Front

What is the slope-intercept form of a line?

Back

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

Front

If two lines have slopes m1 and m2, under what condition are they perpendicular?

Back

They are perpendicular if m1 * m2 = -1.