Writing Equations of Parallel and Perpendicular Lines

This video tutorial covers the concepts of parallel and perpendicular lines, focusing on how to determine their slopes. It explains that parallel lines have identical slopes, while perpendicular lines have slopes that are negative reciprocals of each other. The tutorial includes examples of writing equations for lines that are parallel or perpendicular to a given line, emphasizing the importance of converting equations to the y=mx+b form to easily identify slopes.

What do parallel lines never do?

• Intersect each other

• Run in opposite directions

• Curve away from each other

• Change their slopes

What is the slope form used to determine if lines are parallel or perpendicular?

• Standard form

• Slope-intercept form

• Point-slope form

• Two-point form

What are the slopes of perpendicular lines?

• Identical

• Negative reciprocals

• Positive reciprocals

• Unrelated

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

• 3

• -3

• -1/3

• 1/3

How do you find the slope of a line from an equation not in slope-intercept form?

• Rearrange the equation to y = mx + b

• Multiply each term by x

• Divide each term by y

• It's not possible

What is the slope of a line perpendicular to one with a slope of 2?

• -1/2

• 2

• -2

• 1/2

Which of the following is a correct method to determine if two lines are parallel?

• Ensure they have the same x-intercepts

• See if they intersect at right angles

• Check if their slopes are equal

• Compare their y-intercepts

What must be true for two lines to be considered perpendicular?

• They must have the same y-intercept

• They must intersect at a 45-degree angle

• Their slopes must be negative reciprocals

• Their slopes must be equal

If a line equation is y = -1/2x + 3, what is the slope of a parallel line?

• 2

• 1/2

• -1/2

• -2

What is the slope of a line perpendicular to one with a slope of -1/3?

• -1/3

• 1/3

• -3

• 3