You should create a custom UserControl and use the Paint even to draw on the surface of the control. The Paint event provides you with a Graphics object which you can use to draw the graph. The big thing to know, however, is that you will need to swap your Y axis. In windows, the top-left of the screen is 0,0 rather than the bottom-left.
So, for instance, the following code will draw the x and y axis of a graph on a contorl:
Public Class CartesianGraph
Public Property BottomLeftExtent() As Point
Get
Return _bottomLeftExtent
End Get
Set(ByVal value As Point)
_bottomLeftExtent = value
End Set
End Property
Private _bottomLeftExtent As Point = New Point(-100, -100)
Public Property TopRightExtent() As Point
Get
Return _topRightExtent
End Get
Set(ByVal value As Point)
_topRightExtent = value
End Set
End Property
Private _topRightExtent As Point = New Point(100, 100)
Private Sub CartesianGraph_Paint(ByVal sender As Object, ByVal e As System.Windows.Forms.PaintEventArgs) Handles Me.Paint
Dim extentHeight As Integer = _topRightExtent.Y - _bottomLeftExtent.Y
Dim extentWidth As Integer = _topRightExtent.X - _bottomLeftExtent.X
If (extentHeight <> 0) And (extentWidth <> 0) Then
If (_bottomLeftExtent.Y <= 0) And (_topRightExtent.Y >= 0) Then
Dim xAxis As Integer = e.ClipRectangle.Height - (_bottomLeftExtent.Y * -1 * e.ClipRectangle.Height \ extentHeight)
e.Graphics.DrawLine(New Pen(ForeColor), 0, xAxis, e.ClipRectangle.Width, xAxis)
End If
If (_bottomLeftExtent.X <= 0) And (_topRightExtent.X >= 0) Then
Dim yAxis As Integer = e.ClipRectangle.Width * _bottomLeftExtent.X * -1 \ extentWidth
e.Graphics.DrawLine(New Pen(ForeColor), yAxis, 0, yAxis, e.ClipRectangle.Height)
End If
End If
End Sub
End Class