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