"I have a blank screen" or "nothing is rendered" is probably the most frequent bug in graphics programming. It's also quite hard to debug because there are many possible causes. Graphics pipeline is compilated, so there are multiple things that can be wrong at each stage. Few years ago I've written a short article about this, in Polish, titled Nic nie widać. This is translation of that article. It provides a list of questions you should ask yourself while considering the most frequent reasons for why nothing appears on the screen. It is dedicated for Direct3D 9, but it can also be applied to OpenGL (only some things are named differently) and, to some degree, to newer graphics API-s.
First of all, please clear your background to some color other than black, e.g. gray or blue. Maybe your geometry is rendered, but it is black. It is a frequent bug, especially if you have lighting enabled (and it is enabled by default) while you didn't setup any lights.
Are you sure you correctly setup all matrices - world, view and projection? Did you create them using correct functions? Is the camera located in the right place and looks in the desired direction? Maybe your object is in the same position as camera or behind the camera, which is pointing backward?
Is the size and position of your object correct? Is your object too close or too far from the camera, relative to the minimum and maximum Z value set in projection matrix? Isn't it too small to be visible?
Do all the calls to DirectX functions return a value meaning success? Do you even check that value? Please also launch "DirectX Control Panel", enable Debug Layer for your application and analyze Output for any error or warning messages.
Do you use correct vertex format? Did you define a structure describing your vertex correctly and compatible with the FVF/vertex declaration that you use? Are all the fields in the correct order and of the right type? Do you tell DirectX what vertex format you want to use by calling SetFVF/SetVertexDeclaration before rendering?
Do you pass correct parameters to the rendering function? In the most basic case, all offsets should be 0 and "stride" is the size of your vertex structure, in bytes, like sizeof(SMyVertex). Do you pass correct number of primitives to render?
Do you fill your vertex and (optional) index buffer correctly? Do they have correct number of elements? Do you fill all of them? If you use transformed coordinates XYZRHW, the RHW component should be set to 1.0 and never to 0.0.
Maybe your geometry is totally transparent. Is the alpha channel set to maxium (1.0 or 0xFF, depending on type) and not to minimum in all of these: vertices, texture, material (only if you use lighting)?
Maybe the triangles you want to render are ignored as "back facing" the camera, because they have wrong winding (clockwise or counterclockwise)? Try to disable backface culling to check that.
Did you setup blending on all texture stages correctly? Did you correctly setup all rest of the states of graphics pipeline? Maybe the problem appears only when you render some objects in a specific order? That means states set before rendering one object remain in the pipeline and break rendering of the next one.
If you use some advanced rendering features, your graphics card may not support them. Set reference software rasterizer during creation of the device object (D3DDEVTYPE_REF instead of HAL). Your program will run very slowly, but everything should be drawn as expected. Query device object for capabilities of your GPU (device caps).
If you use depth buffer, remember to clear it as well, together with backbuffer. In 3rd parameter of Clear function bitwise OR following flag: D3DCLEAR_ZBUFFER. Without it, you won't see anything on the screen or you will see artifacts. Value to clear Z-buffer to is 1.0f (not 0.0f).
Finally, there are ways you can actually debug how data and state look like on subsequent stages of the graphics pipeline while this bugged draw call is executed, using Graphics Diagnostics in Visual Sudio or other GPU debugging tool.