write an equation in standard form that is perpendicular to 2x-y=10 and goes through (-2,2)

Question

help me on my geometry test i just want to know if i am doing this right

Answer 1

The line 2x-y=10 is in Standard Form (Ax+By=C).

 

You may, once and forever, convert that to slope-intercept form (y=mx+b) and PLZ remember that the slope m=(-A/B).

 

Perpendicular lines have slopes that are the negative reciprocals of each other.  The slope of the perpendicular line is (B/A).

 

That means the equation of the perpendicular line is  x+2y=D

      because (-A/B) = (-2/-1) = 2

         and (B/A) = (-1)/(2) = -1/2

        also,we need a point in order to find the constant D.    Use (-2,2)

 

       x+2y=D

      (-2)+2(2)=D

          2=D

 

The equation of the perpendicular line is:     x+2y=2