how do you graph 5x+y-4z+20=0?

Question

i tried to do the traces but they don't fall in the first quadrant.

i'll go by the intercepts way, thank you!

Answer 1

it is a plane,
and it does not fall int he first octant.

x=0=y, then z=5,
if
y=0=z, then x=-4
if
x=0=z, then y=-20

you can also try to graph:
z =[5x+y+20]/4

Answer 2

It is a plane.
Find where the plane intercepts the axes. for instance, when x and y are zero you get the point on the z-axis. Find the intercepts for the x and y axes in a similar way. Graph the 3 points then connect them with lines.

Answer 3

Re-arrange it to get z = (5x + y + 20)/4, plot a few (x,y) points, and then sketch in the plane.

3D graphs take a bit of practice ☺


Doug

Answer 4

impossible to graph