Starting from point a, find the point that would cut the line segment created by the points A (-1,4) and B (5,4) into a ratio of

Question

Tanzania [10]

4 years ago

14

Starting from point a, find the point that would cut the line segment created by the points A (-1,4) and B (5,4) into a ratio of

3:4

Mathematics

1 answer:

zhuklara [117] · Answer 1 · 2022-01-04T06:48:47+03:00

The coordinates of points are: (11/7 , 4)

Step-by-step explanation:

The formula for a point which divides a line in ration m:n is given by:

$P(x,y) = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

Here

(x1,y1) = (-1,4)

(x2,y2) = (5,4)

m = 3

n = 4

So putting the values in the formula

$P(x,y) = (\frac{(3)(5)+(4)(-1)}{3+4},\frac{(3)(4)+(4)(4)}{3+4})\\= (\frac{15-4}{7},\frac{12+16}{7})\\=(\frac{11}{7}, \frac{28}{7})\\=(\frac{11}{7} , 4)$

The coordinates of points are: (11/7 , 4)

Keywords: Ratio, fraction

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