see explanation
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
x² + y² = 49 ← is in this form with
r² = 49 ( take square root of both sides )
r = = 7
Thus A = (7, 0 ) and B = (0, 7 )
To find M use the midpoint formula
M = ( , ) = (3.5, 3.5 )
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (3.5, 3.5 )
m = = = 1
y = x ← equation of line passing through O and M