?Find the point on the line \(y=2 x+3\) that is closest to the origin.Equation

Chapter 4, Problem 25

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QUESTION:

Find the point on the line \(y=2 x+3\) that is closest to the origin.

Questions & Answers

QUESTION:

Find the point on the line \(y=2 x+3\) that is closest to the origin.

ANSWER:

Step 1 of 3

It is given that, the equation of the line is,

\(y=2 x+3\)

And, \(O(0,0)\) is the origin.

It is known that,

The distance between two points is determined using the formula,

\(d=\sqrt{\left(x_{1}-x_{2}\right)^{2}+\left(y_{1}-y_{2}\right)^{2}}\).

To find the point on the line closest to the origin.

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