Question

plz guys answer it step by step
don't answer it direct
plz
answer it
step by step ​

Answer 1

Answer:

x-coordinate

m1x2+m2x1/m1+x2

y- coordinate

m1y2+m2y1/m1+x2

Step-by-step explanation:

put the value in given formula

find both x and y coordinate

x-coordinate

m1x2+m2x1/m1+x2

put value

(2)(4)+(3)(-1)/2+3

8-3/5=5/5

(x=1)

y- coordinate

m1y2+m2y1/m1+x2

(2)(-3)-(3)(7)/2+3

-6/5 21=15/15=3

(y=3)

p(1,3) Divide AB in 2:3

Answer 2

Step-by-step explanation:

Find the coordinates of the point which divides the join of (-1, 7) and (4, - 3) in the ratio 2 : 3

add

Solution:

Let the coordinates of the point be P(x, y) which divides the line segment joining the points (-1, 7) and (4, - 3) in the ratio 2 : 3

Let two points be A (x₁, y₁) and B(x₂, y₂). P (x, y) divides internally the line joining A and B in the ratio m₁: m₂. Then, coordinates of P(x, y) is given by the section formula

P (x, y) = [(mx₂ + nx₁ / m + n), (my₂ + ny₁ / m + n)]

Find the coordinates of the point which divides the join of (-1, 7) and (4, - 3) in the ratio 2 : 3

Let x₁ = - 1, y₁ = 7, x₂ = 4 and y₂ = - 3, m = 2, n = 3

By Section formula, P (x, y) = [(mx₂ + nx₁ / m + n) , (my₂ + ny₁ / m + n)] --- (1)

By substituting the values in the equation (1)

x = [2 × 4 + 3 × (- 1)] / (2 + 3) and y = [2 × (- 3) + 3 × 7] / (2 + 3)

x = (8 - 3) / 5 and y = (- 6 + 21) / 5

x = 5/5 = 1 and y = 15/5 = 3

Therefore, the coordinates of point P are (1, 3).