Plot plane using a line and a point?

I have a line

x=0:450;
x1=86;y1=115;z1=11420;
x2=167;y2=70;z2=9240;

y=ones(1,451)*115;
m=(9240-11420)/(167-86); %z2-z1/x2-x1
z = m*(x - x1) + z1;

hold on;line(x,y,z)

how to plot plane using this line and a point (x2,y2,z2)?

[Torsten]

z = m*(x - x1) + z1;

in 3d is a plane, not a line.

You need two points in this plane to fix a line.

I guess that one of the points you have in mind is (x1,y1,z1).

What is the second point ?

Answer 1

[Matt J]

x1=86;y1=115;z1=11420;
x2=167;y2=70;z2=9240;
x3=167;y3=115;z3=9240;

p=null([x1,y1,z1,1; ...
        x2,y2,z2,1; ...
        x3,y3,z3,1]);

range=[ 80   180 60  120   9000 11500];

fimplicit3(@(x,y,z) p'*[x;y;z;ones(size(z))],...
             range,'EdgeColor','none','FaceColor','g');
xlabel X, ylabel Y, zlabel Z, view(25,10)

[shubham kumar gupta]

thank you