Question

the lation in which y-axis divides the line segment joining the points (5,-6) and (-1,-4) is.​

Answer 1

Answer:

• P(0,-13/3)

Step-by-step explanation:

We have points:

A = (5, -6)

B = (-1, -4)

Let P be the required point.

Given, P is on y-axis.

So, x coordinate will be 0.

• P(0, y)

Let the ratio be k : 1.

Using section formula:

x = [m_1x_2 + m_2x_1/m_1 + m_2]

y = [m_1y_2 + m_2y_1/m_1 + m_2]

Substituting we get:

0 = k(-1) + 1(5)/k + 1

0 = -k + 5/k + 1

0 = -k + 5

∴ k = 5

y = k(-4) + 1(-6)/k + 1

y = 5(-4) + 1(-6)/5 + 1

y = -20 - 6/6

∴ y = -13/3

∴ Coordinate of point P(0,y) is P(0,-13/3).