I have the equation of an ellipse: $\frac{x^2}{4}+\frac{y^2}{9}=1$

In the upper left quadrant, how do I find the coordinates of tangent point P whose tangent line is at an angle of 45 degrees with the x-axis (slope of 1)?

I haven't done this kind of math in nearly a decade, so I haven't been able to figure it out.