Equations of Parallel and Perpendicular Lines Explained

This video tutorial explains the concepts of parallel and perpendicular lines, focusing on their definitions, properties, and how to write equations for each. Parallel lines have the same slope but different y-intercepts, while perpendicular lines intersect at a right angle and have opposite reciprocal slopes. The video provides examples and demonstrates using a graphing calculator to verify equations.

What is the main characteristic of parallel lines?

• They intersect at a right angle.

• They have opposite reciprocal slopes.

• They have the same y-intercept.

• They are always the same distance apart.

How can you identify parallel lines by looking at their equations?

• They have different slopes and different y-intercepts.

• They have the same slope and same y-intercept.

• They have the same slope but different y-intercepts.

• They have opposite reciprocal slopes.

If two lines have the same slope but different y-intercepts, what can be said about them?

• They are the same line.

• They are perpendicular.

• They are parallel.

• They intersect at a right angle.

What is the slope of a line parallel to y = -4x + 3?

• -4

• 4

• 1/4

• -1/4

To find the y-intercept of a line parallel to a given line and passing through a specific point, what should you do?

• Use the opposite reciprocal slope.

• Use the slope-intercept form and solve for the slope.

• Use the point-slope form and solve for the y-intercept.

• Use the same y-intercept as the given line.

What is a key characteristic of perpendicular lines?

• They have the same slope.

• They intersect at a right angle.

• They never intersect.

• They have the same y-intercept.

What does it mean for slopes to be opposite reciprocals?

• They are both negative.

• One is the negative reciprocal of the other.

• They are both positive.

• They are equal.

If a line has a slope of 4/5, what is the slope of a line perpendicular to it?

• 4/5

• -4/5

• 5/4

• -5/4

What is the slope of a line perpendicular to a line with a slope of 1/6?

• 6

• -6

• -1/6

• 1/6

To write the equation of a line perpendicular to a given line and passing through a specific point, what should you do?

• Use the same slope as the given line.

• Use the point-slope form and solve for the slope.

• Use the opposite reciprocal slope and solve for the y-intercept.

• Use the same y-intercept as the given line.