SOLUTION: Write a function that models the distance D from a point on the line y = 11 x - 6 to the point (0,0) (as a function of x). D(x) = √(122x2−132x+36) The point o

Algebra ->  Functions -> SOLUTION: Write a function that models the distance D from a point on the line y = 11 x - 6 to the point (0,0) (as a function of x). D(x) = √(122x2−132x+36) The point o      Log On


   

Question 1000870: Write a function that models the distance D from a point on the line y = 11 x - 6 to the point (0,0) (as a function of x).
D(x) = √(122x2−132x+36)

The point on the line that is closest to (0, 0) is
( , ) (numerical answers)
I was able to find D(x) but unsure how to find the x and y coordinates? please explain
Thank you
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You did the more advanced part but did not know how to do the less advanced part?

Intuition should tell you to find the equation of the line perpendicular to y=11x-6 which contains the point (0,0). At which point do the two lines intersect?


Once you solved for x, you could then just use the value in the formula you found for D(x) to find that distance asked for.