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find the distance from the point (2,5) to the line y=2x.

Question

find the distance from the point (2,5) to the line y=2x.

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Step 1

Refer  to the question,

The distance from a point to the line is the shortest distance between the point or ay point on the line.

So the graph of the above equation and point is,

(2,5)
5
P
4
y2x
3
2
1
3
-2
2
en
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(2,5) 5 P 4 y2x 3 2 1 3 -2 2 en

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Step 2

Find the point p on the lne y=2x, as the slope of the line is 2 when compared with the slope intercept form y=mx +c , where m is the slope and c is the  intercept.

y = mx +c
y = 2r
m = 2.c 0
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y = mx +c y = 2r m = 2.c 0

fullscreen
Step 3

As the perpendicular is draw from the given point on the line y=2x so for two lines ...

=-1
2x
=-1
2
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=-1 2x =-1 2

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Tagged in

Math

Calculus

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