The line represented by y = 2x + 1 and a line perpendicular to it intersect at R(2, 5). What is the equation of the perpendicular line?

A.) y= -1/2x + 5

B.) y= 1/3x + 7/3

C.) y= -1/2x + 6

D.) y= -2x + 6

Redsox123
May 11, 2017

#1**+1 **

**The line represented by y = 2x + 1 and a line perpendicular to it intersect at R(2, 5). **

**What is the equation of the perpendicular line?**

\(\begin{array}{|rcll|} \hline y &=& 2x + 1 \quad m = 2 \quad & \quad m_{\perp} = -\frac{1}{m} = - \frac12 \\\\ y_{\perp} &=& -\frac12\cdot x + b \quad & \quad R=(2,5) \\ 5 &=& -\frac12\cdot 2 + b \\ 5 &=& -1 + b \\ 6 &=& b \\ y_{\perp} &=& -\frac12\cdot x + 6 \\ \hline \end{array} \)

The equation of the perpendicular line is** \(y = -\frac12\cdot x + 6\) **

heureka
May 11, 2017