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explain me the formula for a point that forms a partiton of a ratio on a segment in the 2nd grade real numbers.


Let’s say the ratio a:b, our formula those becomes


{(bx1 + ax2)/(a + b) ,( by1+ay2)/a+b}


From the question, we can identify that


(x1,y1) = (-6,-1)


(x2,y2) = (4,8)


a = 1 and b = 3

Respuesta :

MrRoyal

The partition point is (-7/2, 23/4)

How to determine the partition point?

The given parameters are:

(x1,y1) = (-6,-1)

(x2,y2) = (4,8)

a = 1 and b = 3

The partition point is calculated as:

(x, y) = ((bx1 + ax2)/(a + b) ,( by1+ay2)/a+b)

So, we have:

(x, y) = ((3 * -6 + 1 * 4)/(1 + 3) ,(3 * 8 + 1 * -1)/1+3)

Evaluate

(x, y) = (-14/4, 23/4)

Simplify

(x, y) = (-7/2, 23/4)

Hence, the partition point is (-7/2, 23/4)

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