1.5 Writing Equations of Parallel and Perpendicular Lines

Front

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

Back

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

Front

What is the slope of a line perpendicular to the line represented by the equation y = -rac{1}{2}x + 4?

Back

The slope of a line perpendicular to y = -\frac{1}{2}x + 4 is 2.

Front

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

Back

y = 5x - 3.

Front

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

Back

y = -\frac{1}{4}x + \frac{13}{4}.

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that do not intersect and have the same slope.

Front

What is the definition of perpendicular lines?

Back

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

Front

If two lines have slopes m_1 and m_2, under what condition are they parallel?

Back

The lines are parallel if m_1 = m_2.

Front

If two lines have slopes m_1 and m_2, under what condition are they perpendicular?

Back

The lines are perpendicular if m_1 * m_2 = -1.

Front

What is the slope of a line with an undefined slope?

Back

The slope of a line with an undefined slope is vertical.

Front

What is the slope of a line with a slope of 0?

Back

The slope of a line with a slope of 0 is horizontal.