Question

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

Answer 1

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

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
`(1)/(2)` ;

So;

Equation of the line is;

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