Question

Find the ratio in which the y-axis divides the line segment joining the points (5, -6) and (-1, -4). Also, find the point of intersection.
Please help me fast I am in great trouble

Answer 1

Answer:

pls refer the above image for your answer

Answer 2

Answer:

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Step-by-step explanation:

if Q - Find the ratio in which the y-axis divides the line segment joining the points (-4, -6) and (10, 12). Also, find the coordinates of the point of division

Answer

Let the y-axis divide the line segment joining the points ( -4, -6 ) and ( 10, 12 )in the ratio k:1 and the point of the intersection be ( 0, y ).

Using section formula, we have

10k+ ( -4)k + 1 . 12k + (-6 )k + 1 = 0, y∴ 10k - 4k + 1 = 0  ⇒   10k -4 = 0 ⇒ k = 410  =25Thus the y-axis divides the line segment joining the given points in the ratio 2:5∴  y = 12k + (-6)k + 1 = 12 x 25 -625 + 1  =24-3052+55 = -67Thus, the coordinates of the point of division are 0, -67

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