Question

What is the shortest distance between the line y=2x+4 and the point at (0, 0)? Round to the nearest tenth.

Answer 1

Answer:

Shortest distance = 1.78 units

Explanation:

Given in image

I Hope it helps

Answer 2

Answer:

Required distance is $\frac{4}{ \sqrt{5} }$ and this value in nearest ten is 1.8

Step-by-step explanation:

Here given line is y=2x+4

We want to find distance between them.

We know, ax+by+c = 0 is a line and (p,q) is a point then distance between them

$= \frac{ap + bq + c}{ \sqrt{{a}^{2} + {b}^{2}} }$

So according to question distance between y=2x+4 and (0,0),

$\frac{2\times 0 - 1 \times 0 + 4}{ \sqrt{ {2}^{2} + {1}^{2} } } \\ = \frac{4}{ \sqrt{4 + 1} } \\ = \frac{4}{ \sqrt{5} } \: unit \\ = 1.7889 \\ = 1.8 \: unit$

Line related more information:

a one-dimensional shape that has length but no width is called a line. A line consists of a set of points that are extended infinitely in opposite directions. It is defined by two points on a two-dimensional plane. Two points that lie on the same line are called collinear points.

Know more about line:

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