# What is the equation of the line perpendicular to #y - 4 = 0# and passing through (-1, 6)? Please show working.

##### 1 Answer

Mar 22, 2018

#### Explanation:

#"note that "y-4=0" can be expressed as "y=4#

#"This is a horizontal line parallel to the x-axis passing "#

#"through all points in the plane with a y-coordinate "=4#

#"A line perpendicular to "y=4" must therefore be a "#

#"vertical line parallel to the y-axis"#

#"of the x-coordinate the line passes through"#

#"here the line passes through "(-1,6)#

#"the equation of the perpendicular line is therefore"#

#color(red)(bar(ul(|color(white)(2/2)color(black)(x=-1)color(white)(2/2)|)))#

graph{(y-0.001x-4)(y-1000x-1000)=0 [-10, 10, -5, 5]}