Question

How do I draw perpendicular line.Please let me know the coordinates it needs to go through

Answer 1

Step-by-step explanation:

First, let's find the slope of the given line. The slope can be calculated as:

`m=(y_2-y_1)/(x_2-x_1)`

Where (x1, y1) and (x2, y2) are the coordinates of two points in the line. Replacing (x1, y1) by (-1, -1) and (x2, y2) by (3, 1), we get

`m=(1-(-1))/(3-(-1))=(1+1)/(3+1)=(2)/(4)=(1)/(2)`

Then, the slope of a perpendicular line multiplied by 1/2 will be equal to -1. So, the slope of a perpendicular line can be calculated as:

`\begin{gathered} m_p\cdot(1)/(2)=-1 \\ m_p\cdot(1)/(2)\cdot2=-1\cdot2 \\ m_p=-2 \end{gathered}`

Therefore, the equation of the perpendicular line that passes through (-1, -1) will be