aleyshanegron1221
Answered

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Which point is one fourth of the way between point A and point B on the line segment AB shown on the coordinate plane below?

Which Point Is One Fourth Of The Way Between Point A And Point B On The Line Segment AB Shown On The Coordinate Plane Below class=

Sagot :

MrRoyal

The coordinate of the point between point A and point B on the line segment AB is [tex](\frac 92, -\frac{19}4)[/tex]

How to determine the point?

The points are given as:

A = (4,-5)

B = (6,-4)

m : n = 1 : 3

The coordinate of the point is then calculated using:

[tex]P = \frac{1}{m + n}(mx_2 + nx_1,my_2 + ny_1)[/tex]

So, we have:

[tex]P = \frac{1}{1 + 3}(1 * 6 + 3 * 4, 1 * -4 + 3 * -5)[/tex]

Evaluate the sum of product

[tex]P = \frac{1}{4}(18, -19)[/tex]

Evaluate the product

[tex]P = (\frac 92, -\frac{19}4)[/tex]

Hence, the coordinate of the point is [tex](\frac 92, -\frac{19}4)[/tex]

Read more about line segment at:

https://brainly.com/question/12959377

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