Question

Find the distance from the point (4,2) to the line y= −2.

Answer 1

The distance is 4.

Explanation:

The shortest distance from the point (4,2) to the line y=-2, in this case, would be a straight line perpendicular to y=-2.

For each and every value of "x" on the line, y = -2. The shortest distance occurs at y(4) = - 2.

At this point the distance is:

`d^(2) =(4 - 4)^(2) + (2-(-2))^(2) \\d^(2) =4 ^(2)\\\\d = 4`

The distance is 4.