Question

Which equation represents a line which is perpendicular to the line
2x + y = -5?

Answer 1

Answer:

            y  =  $\frac{1}{2}$ x - 5

Step-by-step explanation:

 Given expression:

        2x + y  = -5

Find the equation of the line perpendicular

Solution:

A line perpendicular to this line will have a negative inverse slope;

  Equation of any line is given as;

           y  = mx + c

y and x are the coordinates

 m is the slope

  c is the intercept

 Re-write;

         2x + y  = -5

                y  = -2x - 5

Now,

          we know that the slope is -2

A line perpendicular will have a slope of $\frac{1}{2}$ ;

  So;

   Equation of the line is;

            y  =  $\frac{1}{2}$ x - 5