Y=4x passes through (-8,6)

Question

What is the equation of the line that is perpendicular  to the graph y=4x that passes through (-8,6) y=???

Answer 1

 

In the line y = 4x , the slope m = 4

 

The line perpendicular to y = 4x has the slope m = -1/4

 

 

 

To find the equation of the line with m = -1/4 passing through the point ( -8 , 6 ),

 

         y - y₁ = m ( x - x₁ )

 

           y - 6 = -1/4 ( x - -8 )

 

          4 (  y -  6 )  = -1 ( x + 8 )

 

               4y - 24= -x - 8

 

               Answer:    x + 4y = 16 is the equation required