Question

Can someone please help me with this I literally have no idea what I'm doing. Thanks!​

Answer 1

The point that divides the line from M to E in ratio 1:3 is (-7/2,8)

Step-by-step explanation:

Given points are:

M(-6,7) = (x1,y1)

E(4,11) = (x2,y2)

Let the ratio be a:b

Then from 1:3

a=1

b=3

The formula for finding the point that divides the line segment into ratio a:b is:

$(\frac{bx_1+ax_2}{a+b},\frac{by_1+ay_2}{a+b})\\Putting\ the\ values\\(\frac{(3)(-6)+(1)(4)}{1+3},\frac{(3)(7)+(1)(11)}{1+3})\\(\frac{-18+4}{4},\frac{21+11}{4})\\(\frac{-14}{4},\frac{32}{4})\\(\frac{-7}{2},8)$

Hence,

The point that divides the line from M to E in ratio 1:3 is (-7/2,8)

Keywords: Coordinate Geometry, Lines

Learn more about coordinate geometry at:

• brainly.com/question/3126500
• brainly.com/question/3306327

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