Exploring Equations of Parallel and Perpendicular Lines

This video tutorial reviews the concepts of parallel and perpendicular lines, focusing on writing equations for these lines using point-slope form. It explains the properties of parallel lines having equal slopes and perpendicular lines having negative reciprocal slopes. The tutorial includes examples of writing equations for both parallel and perpendicular lines, as well as special cases involving horizontal and vertical lines. The video concludes with practice problems for viewers to attempt.

What is the slope of a line parallel to a line with slope -2?

• -1/2

• 1/2

• 2

• -2

What is the negative reciprocal of a slope of 3/4?

• -3/4

• -4/3

• 4/3

• 3/4

In point-slope form, what does 'Y - Y1 = m(X - X1)' represent?

• None of the above

• Standard form

• Slope-intercept form

• Point-slope form

How do you convert point-slope form to slope-intercept form?

• Distribute and isolate Y

• Multiply each side by X

• None of the above

• Add Y1 to both sides

What is the slope of a line perpendicular to a line with slope -3/4?

• -3/4

• 3/4

• 4/3

• -4/3

If a line passes through the point (2,3) and is parallel to y = -2x + 1, what is the equation of the line?

• y = 2x - 1

• y = -2x - 1

• y = 2x + 1

• y = -2x + 7

What type of line is represented by the equation 'y = 4'?

• Vertical line

• Horizontal line

• Slope-intercept form

• Point-slope form

What is the equation of a vertical line passing through the point (5/2, 0)?

• y = 0

• x = 0

• y = 5/2

• x = 5/2

What should you do after attempting the practice problems?

• None of the above

• Submit the answers

• Rewatch the video

• Check the answers on the next page

Who can you ask for help if you have questions about the practice problems?

• The instructor or Mr. Hayes

• All of the above

• A classmate

• No one