Ratios of distances between colinear points | Analytic geometry | Geometry | Khan Academy

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Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.

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[ashutosh]

Concepts are interconnected and that's so great sir..

[abdullahhussain]

Beautiful! Yes i have finally figured out the question i was searching for thankyou 😊😊😊👍👍👏👏👏

[siphicus]

how about when finding the partitioning point between 2 endpoints?

[manojwaiba]

How do you know what point to use at the end point A or B to subtract or add you x or y value

[kacperm.]

There are also equalities that solve this problem.
First, let C = (x, y)
-6 + 2(x--6)/5 = 2 <--- Here we get x
9 + 2(y-9)/5 = 3 <--- Here we get y

A formula for a point in-between would be
(x = xA + offset * (xB-xA) / n, y = yA + offset * (yB-yA) / n)
where offset = 0, 1, 2, 3, 4 .. n
n = how many equal parts is the AB segment divided into?

[ZzBaitzz]

This dude just manages to teach me more in 5 minutes than my teacher has taught me all year

[satestactmathtutor]

u should say 4/x = 2/7

and 6/y = 2/7

[KINGABDUL]

I think mr khan is not well in this video.