Question

in what ratio does the x axis divide the line segment joining the points (- 4 ,- 6 )and (-1 ,7)? Find the coordinates of the point of division​

Answer 1

Answer:

Explanation:

Let x-axis divides the line segment joining (–4, –6) and (–1, 7) at the point P in the ratio 1 : k.

Now, coordinates of point of division P are

x coordinate = (-1 - 4k) / (k + 1)

y coordinate = (7 - 6k) / (k + 1)

Since P lies on x-axis, therefore y coordinate = 0

(7 - 6k) / (k + 1) = 0

7 - 6k = 0

k = 7/6

Hence, the ratio is 1:7/6 = 6:7

Now, the coordinates of P are (-34/13, 0)

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Answer 2

Answer:

6:7

Explanation:

Let x-axis divides the line segment joining (–4, –6) and (–1, 7) at the point P in the ratio 1 : k.

Now, coordinates of point of division P are

x coordinate = (-1 - 4k) / (k + 1)

y coordinate = (7 - 6k) / (k + 1)

Since P lies on x-axis, therefore y coordinate = 0

(7 - 6k) / (k + 1) = 0

7 - 6k = 0

k = 7/6

Hence, the ratio is 1:7/6 = 6:7

Now, the coordinates of P are (-34/13, 0)

Read more on Brainly.in - https://brainly.in/question/14716099#readmore