Question

Find the equations of the straight lines parallel to the coordinate axes and passing through the point $(-5,-2)$.

• A. $y+2=0,x+5=0$
• B. $y-2=0,x+5=0$
• C. $y+2=0,x-5=0$
• D. None of these

Answer 1

Answer: (A)

$y+2=0,x+5=0$

Straight line parallel to co-ordinate are of the form either x=c and y=d where c and d are some constant variable..Given that it passes through point (-5,-2).

let equation of line parallel to x-axis be y=d and given that it passes through point (-5,-2).So let us substitute value of y ,then we get -2=d

So our equation of first line become y=-(2)i.e y+2=0.

Similarly line parallel to y-axis be x=c.This line again passes through (-5,-2).So substituting value of x we get -5=c.So equation bexomes x=(-5)i.e x+5=0