Answer:
The equation of the parallel line 2x +y -4=0
Step-by-step explanation:
Step(i):-
Given that the equation of the straight line y = -2x -9
2x + y +9=0
Given that the Point (-3,10)
Step(ii):-
Equation of the parallel line to the given line
ax +by +k=0
Now , The equation of the parallel line
2x + y +k =0
this line is passes through the point (-3,10)
2(-3)+10+k=0
⇒ 4 +k=0
⇒ k = -4
Final answer:-
The equation of the parallel line 2x +y -4=0
