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Segment AB is shown on the graph.
6
5
4
3-
(-3,2)
A
2
-7-6-5-4-3-2-1₁
-2
N
o + p q r
-3
4
-5
-6
2 3 4 5 6 7 X
B (2,-1)
Which shows how to find the x-coordinate of the point
that will divide AB into a 2:3 ratio using the formula
a
= (a + b )(x² − ×₁] + x₁ ?
O x =
(-3-2) +2
Ox=(2+3)-3
Ox=(-3-2) +2
Ox=(2+3)-3

Segment AB is shown on the graph 6 5 4 3 32 A 2 7654321 2 N o p q r 3 4 5 6 2 3 4 5 6 7 X B 21 Which shows how to find the xcoordinate of the point that will di class=

Respuesta :

Answer:  D

Step-by-step explanation:

Plug in the ratio into the formula, so 2/2+3=2/5

Eliminate the first 2 options

Find the difference between x2 and x1

Find x2 and x1 by using the x-coordinates of the given points

I will use x1 as point a's x-value

x1=-3  

x2=2  

Altogether, you'll derive:

[tex](\frac{2}{5} )(2+3) -3[/tex]

This matches D.

C won't work because although C and D will work with x1 and x2, C doesn't split it into a 2:3 ratio.

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