Interpolate p1(x1, y1, z1), p2(x2, y2, z2), find x and y when z = 0

I've 2 two 3-dimensional points:

(x1=18.1009988576007, y1=8.98615800401940, z1=0.0383777665716703)

(x2=18.1467590941979, y2=9.05076591949910, z2=-0.0425807020243865)

I want to interpolate this and get the value of x and y when z = 0. I don't know how I should it.

Thanks!

Answer 1

[Stephen23]

>> x1=18.1009988576007; y1=8.98615800401940; z1=+0.0383777665716703;
>> x2=18.1467590941979; y2=9.05076591949910; z2=-0.0425807020243865;
>> fun = @(x)interp1([0,1],[z1,z2],x);
>> k = fzero(fun,[0,1]);
>> x3 = x1+(x2-x1)*k
x3 =
          18.1226911611836
>> y3 = y1+(y2-y1)*k
y3 =
          9.01678491114796