Question

If the line formed by equation 1 is parallel to the line formed by equation 2, fill in the missing value below.

Answer 1

`y =-(3)/(2)x + 6`

Explanation:

Given

`y = []x + 6` --- equation 1

`y = (2)/(3)x + 10` --- equation 2

Required

Fill in the blank

A linear equation is represented as:

`y = mx + b`

Where m represents the slope

If (1) and (2) are perpendicular, then:

`m_1 = -(1)/(m_2)`

In
`y = (2)/(3)x + 10` --- equation 2

`m_2 = (2)/(3)`

So, we have:

`m_1 = -(1)/(m_2)`

`m_1 = -(1)/(2/3)`

`m_1 = -(3)/(2)`

Hence, the complete equation is:

`y =-(3)/(2)x + 6`