Question

Given a line X1 66, Y1 69 to X2 -57, Y2 -79 and a point PX 81, PY -49 Find the Signed Cartesian Distance of the point to the line. To receive credit for a question you must show your work! Tip: A Gradient distance is not the same as a Cartesian distance but is related.

Answer 1

Answer:

the answer is 192.44     to 2 decimal places

Step-by-step explanation:

For two points P1 = (x1, y1) and P2 = (x2, y2) in the Cartesian plane, the distance between P1 and P2 is defined as

                             $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}$

=  $\sqrt{(-57 - 66)^{2} + (-79 - 69)^{2}}$

=  $\sqrt{(-123) ^{2}+ (-148) ^{2}$

= $\sqrt{15129 + 21904$

= $\sqrt{37033$

= $192.44$         to 2 decimal places