Question

A well is to be dug at the location in the diagram. Use the diagram for the parts.

The equation that represents the road is y= ______​

Answer 1

`y = (1)/(6)x - 5`

Explanation:

The equation that represents the road can be written as
`y = mx + b`

Find, m = slope, and b = y-intercept of the line.

Using two points on the line, (-6, -6) and (6, -4), find the slope:

`slope(m) = (y_2 - y_1)/(x_2 - x_1) = (-4 -(-6))/(6 -(-6)) = (2)/(12) = (1)/(6)`

Substitute x = -6, y = -6, and m = ⅙ into
`y = mx + b` to find b.

`-6 = (1)/(6)(-6) + b`

`-6 = -1 + b`

Add 1 to both sides

`-6 + 1 = b`

`-5 = b`

Substitute m = ⅙, and b = -5 into
`y = mx + b`.

✅The equation that represents the road would be:

`y = (1)/(6)x + (-5)`

`y = (1)/(6)x - 5`