Question

You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing the zip line is y=3/2x+6. There is a tree in your yard at the point (6,2) each unit bin the coordinate plane represents one foot approximately how far away is the tree from the zip line round your answer to the neerest tenth

Answer 1

Answer: distance = 10.2

Explanation:

From the question, the equation of the line representing the zip line is y=3/2x+6

Let's assume y = 0

3x = 12

x = 4

y = 12

We will have a coordinate ( 4, 12) and (6 , 2)

Solving this problem will requires us to use the distance formula of point to a line.

distance = sqrt root ( X2 - X1)^2 +(Y2 -Y1)^2

distance = sqrt root ( 2^2 + 10^2)

distance = 10.198

To round your answer to the neerest tenth,

distance = 10.2