Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

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 do you find the slope of a line from its equation in slope-intercept form?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

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

Back

y = 2x + 2.

Front

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

Back

y = (1/3)x + 13/3.

Front

What is the slope of the line y = 4x - 7?

Back

The slope is 4.

Front

Are the lines y = 2x + 1 and y = 2x - 3 parallel?

Back

YES, they have the same slope.

Front

Are the lines y = 1/2x + 2 and y = -2x + 3 perpendicular?

Back

YES, their slopes are negative reciprocals.

Front

What is the slope of a line that is perpendicular to a line with a slope of 5?

Back

The slope of the perpendicular line is -1/5.

Front

Write the equation of a line that passes through (0, 0) and is parallel to y = -1/4x + 2.

Back

y = -1/4x.