Hi hsku6482,
You need to set the Title, TitleForeColor, TitleAlignment and TextOrientation of AxisX and AxisY.
VB.Net
RateChart.ChartAreas(0).AxisX.Interval = 1
RateChart.ChartAreas(0).AxisX.Title = "Period"
RateChart.ChartAreas(0).AxisX.TitleForeColor = System.Drawing.Color.Red
RateChart.ChartAreas(0).AxisY.Title = "Number of incidents"
RateChart.ChartAreas(0).AxisY.TitleForeColor = Drawing.Color.Red
RateChart.ChartAreas(0).AxisY.TitleAlignment = Drawing.StringAlignment.Far
RateChart.ChartAreas(0).AxisY.TextOrientation = TextOrientation.Horizontal
C#
RateChart.ChartAreas[0].AxisX.Interval = 1;
RateChart.ChartAreas[0].AxisX.Title = "Period";
RateChart.ChartAreas[0].AxisX.TitleForeColor = System.Drawing.Color.Red;
RateChart.ChartAreas[0].AxisY.Title = "Number of incidents";
RateChart.ChartAreas[0].AxisY.TitleForeColor = System.Drawing.Color.Red;
RateChart.ChartAreas[0].AxisY.TitleAlignment = System.Drawing.StringAlignment.Far;
RateChart.ChartAreas[0].AxisY.TextOrientation = TextOrientation.Horizontal;