Understanding Perpendicular Lines and Equations

The video tutorial explains how to find the equation of a line B that is perpendicular to line A, given that line A's equation is y = 2x + 11 and line B passes through the point (6, -7). The process involves determining the slope of line A, calculating the negative inverse to find the slope of line B, and using the given point to find line B's y-intercept. The final equation of line B is derived as y = -1/2x - 4.

What is the equation of line A?

• y = 4x - 1

• y = 2x + 11

• y = 3x + 5

• y = x + 2

What is the first step in finding the equation of line B?

• Find the y-intercept

• Find the slope of line A

• Find the midpoint

• Find the x-intercept

If two lines are perpendicular, what is the relationship between their slopes?

• They are parallel

• They are reciprocals

• They are negative inverses

• They are equal

What is the slope of line A?

• 1/2

• -2

• 2

• 1

What is the slope of line B if it is perpendicular to line A?

• 2

• -2

• 1/2

• -1/2

What is the negative inverse of 2?

• -1/2

• 2

• 1/2

• -2

Which point does line B pass through?

• (5, -6)

• (6, -7)

• (7, -6)

• (6, -5)

How do you calculate the y-intercept of line B?

• Use the slope and a point on the line

• Use the x-intercept

• Use the midpoint formula

• Use the distance formula

What is the y-intercept of line B?

• 0

• -4

• -7

• 4

What is the final equation of line B?

• y = 2x - 4

• y = -2x + 4

• y = 1/2x + 4

• y = -1/2x - 4