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=−4/5x+5. there is a tree in your yard at the point (4, 10). each unit in the coordinate plane represents 1 foot. approximately how far away is the tree from the zip line? round your answer to the nearest tenth.

The tree is approximately 6.4 feet away from the zip line.

Step-by-step explanation:

Equation of the line representing the zip line is  

First we need to convert the above equation into form. So........

Thus,   and

The formula for distance from a point to the line is.........

Given that, there is a tree in your yard at the point (4, 10). So here,   and

Thus, the distance will be:    (Rounding to the nearest tenth)

So, the tree is approximately 6.4 feet away from the zip line.

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves