Question

The equation is: y = -32 +2

Select all of the equations that would be perpendicular to this line.
y = -31 - 2
y = 2x - 5
y = {2 – 3
y = 12 +7
y = -32 +1
y=i<+3.63917
y = –2 – 3
y = -4.1 - 32

Answer 1

y =
`(1)/(3)` x - 3 ⇒ 3rd answer

y =
`(1)/(3)` x + 7 ⇒ 4th answer

y =
`(1)/(3)` x + 3.63917 ⇒ 6th answer

y =
`(1)/(3)` x ⇒ 8th answer

Explanation:

The product of the slopes of the perpendicular lines is -1

• If the slope of a line is m, then the slope of the perpendicular line to it is
  `-(1)/(m)`

• To find the slope of a perpendicular line to a given line reciprocal the slope of the given line and change its sign

The form of the linear equation is y = m x + b, where

• m is the slope of the line

• b is the y-intercept

∵ The equation of the given line is y = -3x + 2

→ Compare it with the form of the equation above

∴ m = -3

→ To find the slope of the perpendicular line to it reciprocal it and

change its sign

∴ The slope of the perpendicular line to it is =
`(1)/(3)`

→ Choose all the equations that have m =
`(1)/(3)`

∴ y =
`(1)/(3)` x - 3 ⇒ 3rd answer

∴ y =
`(1)/(3)` x + 7 ⇒ 4th answer

∴ y =
`(1)/(3)` x + 3.63917 ⇒ 6th answer

∴ y =
`(1)/(3)` x ⇒ 8th answer