Question

write an equation in slope intercept form of the line that is perpendicular to the line Y equals 1/4 x -9 and passes through 1, 1

Answer 1

For perpendicularity

`\begin{gathered} \text{slope of line 1 =}\frac{-1}{slope\text{ of line 2}}_{} \\ \text{slope of line 1 = m}_1 \\ \text{slope of line 2 =m}_2 \end{gathered}`
`\begin{gathered} \text{Hence,} \\ m_1=(-1)/(m_2) \end{gathered}`
`\begin{gathered} \text{From the question} \\ m_1=\text{ }(1)/(4) \end{gathered}`