Since the major axis is along the x-axis.
∴ The equation of ellipse in standard form is

x2

a2

+

y2

b2

= 1
Since the ellipse passes through point (4, 3)
∴

16

a2

+

9

b2

= 1 ... (i)
Also, the ellipse passes through point (6, 2)
∴

36

a2

+

4

b2

= 1 ... (ii)
Solving (i) and (ii), we get a2 = 52 and b2 = 13
Hence the required equation of ellipse is

x2

52

+

y2

13

= 1.