Question

Line A and B are perpendicular. The slope of Line A is -0.5. What is the value of x if the slope of line B is x + 6?

Answer 1

`x=-4`

Explanation:

Since the lines are perpendicular, we know that the product of the two are gradient equal `-1`, so `m_1m_2=-1`

`m_1=-0.5`
`m_2=x+6`

`-0.5(x+6)=-1`

`x+6=-1/-0.5=1/0.5=2`

`x=2-6=-4`