Parallel and Perpendicular lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

What are 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

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope and different y-intercepts.

Front

How can you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of 2, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it would also be 2.

Front

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

Back

The slope of a line perpendicular to it would be 1/3 (the negative reciprocal of -3).

Front

Write the equation of a line that is parallel to y = 3x + 4 and passes through the point (2, 5).

Back

y = 3x - 1.

Front

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

Back

y = 2x - 6.

Front

What is the y-intercept of the line y = 4x + 1?

Back

The y-intercept is 1.