Answer:
Option 2
Step-by-step explanation:
Coordinates of A(-4,6) and B(5,1)
A = (x1,y1) = (-4,6)
B = (x2,y2) = (5,1)
P = (x3,y3) = ?
Ratio = a:b = 2:3
So, a = 2, b = 3
Now, Finding x3
=> x3 = x1 + [tex]\frac{a(x2-x1)}{a+b}[/tex]
=> x3 = -4+[tex]\frac{2(9)}{5}[/tex]
=> x3 = -4 + [tex]\frac{18}{5}[/tex]
=> x3 = -4+3.6
=> x3 = -0.4
