Question

What ratio does the x-axis divide the line segment a(5,6) and (2,-8)?

Answer 1

Answer:

In what ratio does the x- axis divide the line segment joining the

points (2, -3) and (5, 6)

Step-by-step explanation:

Answer 2

Given:

x-axis divides the line segment a(5,6) and (2,-8)

To find:

ratio does the x-axis divide the line segment a(5,6) and (2,-8)

Solution:

Lat the ratio is K:1

It is given that x-axis divides the line segment With the endpoint (5,6) and (2, -8)

and as we know that the equation for the x-axis is is y=0 this the point at which the x-axis intersects the line is (x, 0)

Now, we will find the ratio by the section formula

$\frac{Kx_{2}+1x_{1} }{K+1}$, $\frac{Ky_{2}+1y_{1} }{K+1}$

here we have the value of y as 0

• $\frac{Ky_{2}+1y_{1} }{K+1} = 0$
• $\frac{K.(-8)+6}{K+1} = 0$
• $-8K+6 = 0$
• $K = \frac{3}{4}$

Hence, x-axis divides the line in the ratio 3:4