Writing Equations of Parallel and Perpendicular Lines

This video tutorial explains how to write equations for lines that are parallel and perpendicular to a given line through a specific point. It uses the point-slope formula to derive these equations, starting with a line in slope-intercept form. The tutorial provides step-by-step instructions for finding the equation of a parallel line with the same slope and a perpendicular line with the inverse reciprocal slope, using a given point for both cases.

What is the slope of the given line y = 7x - 3?

• -3

• -7

• 3

• 7

Which formula is used to find the equation of a line through a point with a given slope?

• Slope-Intercept Form

• Point-Slope Form

• Standard Form

• Quadratic Formula

If a line is parallel to y = 7x - 3, what is its slope?

• -1/7

• -7

• 1/7

• 7

What is the equation of the line parallel to y = 7x - 3 passing through the point (-4, -2)?

• y = -7x - 26

• y = -7x + 26

• y = 7x + 26

• y = 7x - 26

What is the first step in simplifying the equation of a line in point-slope form?

• Add the y-intercept

• Combine like terms

• Isolate y

• Distribute the slope

What does it mean for two lines to be perpendicular?

• They intersect at the origin.

• They have the same slope.

• Their slopes are negative reciprocals.

• They are parallel.

What is the slope of a line perpendicular to y = 7x - 3?

• 7

• -7

• 1/7

• -1/7

What is the equation of the line perpendicular to y = 7x - 3 passing through the point (-4, -2)?

• y = -1/7x + 18/7

• y = 1/7x - 18/7

• y = 1/7x + 18/7

• y = -1/7x - 18/7

What is the final step in simplifying the equation of a line in point-slope form?

• Isolate y

• Distribute the slope

• Combine like terms

• Add the y-intercept

What is the common denominator used to combine terms in the equation of the perpendicular line?

• 21

• 7

• 18

• 14