The x-intercept is present where y = 0
2x + 5y - 10 = 0
2x - 10 = -5y
2x - 10 = -5(0)
2x = 10
x = 5
The y-intercept is present where x = 0
2x + 5y = 10
2x + 5y - 10 = 0
5y - 10 = -2(0)
5y = 10
y = 2
Evaluation of square root 169 = 13, so 10 + 13 = 23