Identifying and Writing Equations of Perpendicular Lines

This video tutorial teaches how to identify and write equations of perpendicular lines by focusing on their slopes and y-intercepts. It explains the concept of perpendicular lines intersecting at right angles and demonstrates how to determine their equations using examples. The tutorial covers converting equations to slope-intercept form, using point-slope form for writing equations, and applying these concepts in geometry problems involving shapes like parallelograms.

What is the slope of a line that is perpendicular to a line with a slope of 1/2?

• 2

• -2

• -1/2

• 1/2

If a line has the equation y = 3/2x + 10, what is the slope of a line perpendicular to it?

• -2/3

• 2/3

• -3/2

• 3/2

How do you determine if two lines are perpendicular?

• Their slopes are equal

• Their slopes are opposite reciprocals

• Their y-intercepts are equal

• Their y-intercepts are opposite reciprocals

What is the equation of a line perpendicular to y = 1/5x + 8 that passes through the point (-10, 4)?

• y = -5x + 46

• y = 5x - 46

• y = -5x - 46

• y = 5x + 46

In a coordinate plane, a line has the equation y = -4x + 2. What is the equation of a line perpendicular to it that passes through (8, 12)?

• y = -4x + 10

• y = 1/4x + 10

• y = -1/4x + 10

• y = 4x + 10