Part 1: create an equation of a line in point-slope form. be sure to identify all parts of the equation before writing the equation. part 2: using the equation of the line you wrote in part 1, write an equation of a line that is perpendicular to this line.

Part--1:

We know that a equation in point-slope form is represented by:

where m is the slope of the line and is a point through which the line passes.  

  Consider a equation in a point-slope form as:

This means that the slope of the line is: 5

and the line  passes through the point (1,5).

Part--2:

Now as we know that if a line has a slope as m then the perpendicular line has a slope: -1/m

Since,

Let this perpendicular line passes through (2,6)

Hence, the equation of a line in point slope form is given by: