3b-2/ 2 = b-2/ 4 solve the proportion

b=2/5

Step-by-step explanation:

(3b-2)/2=(b-2)/4

cross product

2(b-2)=4(3b-2)

2b-4=12b-8

2b-12b-4=-8

-10b-4=-8

-10b=-8+4

-10b=-4

10b=4

b=4/10

simplify

b=2/5

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)