Closest point

On the line p: 2x + y + 1 = 0, find the point A ∈ p that is closest to the point P =(1,0)

Final Answer:

x =  -0.2
y =  -0.6

Step-by-step explanation:

p: 2x + y + 1 = 0 P=(1,0)  v = ZP = (xPx)2+(yPy)2  v = (x1)2+((12x)0)2  v = 5 x2 + 2 x + 2  v = 5 2 x + 2  v=0  5 2 x + 2 = 0  x=1/5=0.2
y=12 x=12 (0.2)=0.6



Help us improve the example. If you find a mistake, let us know. Thank you!







Tips for related online calculators
Do you want to convert length units?
See also our right triangle calculator.

You need to know the following knowledge to solve this word math problem:

geometryarithmeticplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: