Question
Asked Oct 20, 2019
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Write a function that models the distance D from a point on the line y = 9 x - 2 to the point (0,0) (as a function of x).

D(x) =

 
 



The point on the line that is closest to (0, 0) is

( , ) (numerical answers)

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Expert Answer

Step 1

The general equation for the straight line is y = mx+c

Where m = slope of the straight line, c = y-intercept

y = Mx + c
line
m = slope of straight
c =y intercept
help_outline

Image Transcriptionclose

y = Mx + c line m = slope of straight c =y intercept

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Step 2

Compare the general equation with the given equation

So,m = 9 and c = -2

y =2x-2
m =9 and c = -2
help_outline

Image Transcriptionclose

y =2x-2 m =9 and c = -2

fullscreen
Step 3

Since we need the model from distance D from a point from the line y = 9x – 2 and passing from the point (0,0).

Therefore, th...

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Tagged in

Math

Calculus