Question

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

Answer 1

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 =
`(1)/(2)`

So,

the new line;

y =
`(1)/(2)`x -5

Any line with slope of
`(1)/(2)` will be perpendicular