Question

Find the distance from the point (x, −3) to the line y = 2.

Answer 1

6 unit

Explanation:

Given: Point (x,-3) and line y=3

Line: y=3 is horizontal line.

For horizontal line y is fix and x-coordinate vary

Let point on line be (x,3)

Now find distance between (x,3) and (x-3)

using distance formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

`d=√((x-x)^2+(3+3)^2)`

`d=√(6^2)`

`d=6`

Hence, The distance between the point (x, −3) to the line y = 2 is 6 unit