Question

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

Answer 1

Answer:

The distance is 4.

Step-by-step 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.