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The circle shown has equation x² + y² = 49. Give the equation of the straight line passing through O and M. ​

User Quy
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The equation of the straight line passing through O and M. is y = x

How to determine the equation of the straight line passing through O and M. ​

From the question, we have the following parameters that can be used in our computation:

x² + y² = 49

Set x and y to 0

So, we have

0² + y² = 49

y = 7

x² + 0² = 49

x = 7

So, the coordinates are

(0, 7) and (7, 0)

The point M is located at the midpoint of (0, 7) and (7, 0)

So, we have

M = 1/2(7, 7)

M = (3.5, 3.5)

The equation of the straight line passing through O (0, 0) and M (3.5, 3.5) is then calculated as

y = mx + c

We notice that the coordinates are the same

So, we have

y = x

Hence. the equation is y = x

User Nlloyd
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