A gazebo is being built near a nature trail. An equation of the line representing the nature trail is y=1/3x-4. Each unit in the coordinate plane corresponds to 10 feet. Approximately how far is the gazebo from the nature trail?

Respuesta :

Answer:

The gazebo is located anywhere 2/3 feet away (0.66 feet) of the Nature Trail.

Step-by-step explanation:

If "x" might be any chosen number in the coordinate plane then "y" will give us the Nature Trail distance to the gazebo when we plug it in. Then let's plug it in the value of 10 feet since each unit in the coordinate plane corresponds to 10 feet.

Let's find out how far is it to the Nature trail:

1 unit-----------10 feet

[tex]y=\frac{1}{3}x-4\\y=\frac{1}{3}(10)-4\\y=\frac{10}{3}-4\\y=\frac{10-12}{3}\\y=\frac{-2}{3}[/tex]