perpendicular line (-2,7) x=9

Question

Find an equation of the line, put in standard and slope intercept form.

Answer 1

We are looking for the line that passes through (-2,7) and perpendicular to the line x = 9,

 

x = 9 is a vertical line with undefined slope

 

Horizontal lines are perpendicular (form right angles) to vertical lines

 

The slope of our line is 0.

 

Using slope-intercept form,  y = mx + b

 

   7 = 0(-2) + b

 

   7 = b

 

So our equation is

 

   y = 0(x) + 7

 

   y = 7