Question

Create an equation of a line that is perpendicular to  

Answer 1

Given an equation of the line of the following form:

`y=mx+b`

we know that 'm' denotes the slope of the line, then, the slope of a perpendicular line can be found with the following equation:

`m_p=-(1)/(m)`

in this case, we have the following:

`\begin{gathered} m=-(1)/(5) \\ \Rightarrow m_p=-(1)/(-(1)/(5))=5 \\ m_p=5 \end{gathered}`

therefore, an equation fo a line that is perpendicular to y = -1/5x+4 is:

`y=5x+4`