Question

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

Answer 1

Step-by-step explanation:

Given expression;

   2x + y  = -5;

  The given equation must be written in a form where the slope is the negative inverse of the given one.

A line perpendicular to another will have a negative inverse slope.

   2x + y  = -5

  Equation of a straight line is generally written as;

       y  = mx + c

y and x are the coordinates

m is the slope

c is y - intercept

          2x + y  = -5

                 y  = -2x -5

 The slope of the perpendicular = $\frac{1}{2}$

So,

the new line;

            y  =  $\frac{1}{2}$x  -5

Any line with slope of  $\frac{1}{2}$ will be perpendicular