Question

the point which divides the line segment of points p -1 7 and 4 -3 in the ratio 2 3

Answer 1

Answer:

the points which divide the line segment are

P(-1, 7) and Q(4, -3) in the ratio 2:3

by section formula

here first of all

X1=-1, X2=4

Y1=7, Y2=-3

M1:M2=2:3

X= m1x2+m2x1/m1+m2

X= 2.4+3.-1/2+3=8-3/5=1

X=1

Y=m1y2+m2y1/m1+m2

y=2.-3+3.7/2+3

=-6+21/5

15/5=3

y=3

so the coordinates which divides the line segment is (1, 3)

Answer 2

Step-by-step explanation:

Given: P(-1,7) and Q(4,-3)

To find: Find the point which divides the line segment in ratio 2:3.

Solution:

Tip: Section formula

If line segment by joining the points $P(x_1,y_1)$and $Q(x_2,y_2)$ is divided by the R(x,y) in m:n ratio,then coordinates of R are given by

$\boxed{\bold{\red{x = \frac{mx_1 + nx_2}{m + n} }}} \\ \\ \boxed{\bold{\green{y = \frac{my_1 + ny_2}{m + n}}}}$

Here,

Points are P(-1,7) and Q(4,-3) ,ratio is 2:3

apply the values in the formula

$x = \frac{2(4) + 3( - 1)}{2 + 3}$

$x = \frac{8 - 3}{5}$

$x = \frac{5}{5}$

$\bold{\red{x = 1 }}$

by the same way,find y

$y = \frac{3 (7)+ 2( - 3)}{3 + 2}$

$y = \frac{21 - 6}{5}$

$y = \frac{15}{5}$

$\bold{\green{y = 3 }}$

Coordinates of R are (1,3).

Final answer:

Coordinates of R are (1,3).

Hope it helps you.

To learn more on brainly:

A point P(-2,3) divides the line segment joining the

paints A(-4,5) and B(3,-2) in the ratio of

https://brainly.in/question/22128783

Point R divides the line segment joining the points A(4,2)and B(4,-7)such that AC/AB =1/3.if C lies on the line ...

https://brainly.in/question/7543990