Parallel lines and Perpendicular Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

If two lines have slopes m1 and m2, when are they perpendicular?

Back

Two lines are perpendicular if m1 * m2 = -1 (their slopes are negative reciprocals).

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope (m) is the coefficient of x, representing the steepness of the line.

Front

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

Back

The slope is -2/3.

Front

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

Back

The slope is 3/2.

Front

Are the lines y = -2/3x + 2 and y = 3/2x + 9 parallel, perpendicular, or neither?

Back

They are perpendicular.

Front

Are the lines y = 3/2x + 2 and y = 2/3x + 6 parallel, perpendicular, or neither?

Back

They are neither.

Front

Are the lines y = 5/7x + 2 and y = 5/7x - 30 parallel, perpendicular, or neither?

Back

They are parallel.

Front

What is the equation of a line that is perpendicular to x = 4 and passes through (-2, 3)?

Back

The equation is y = 3.