Answer:
a) A ( 7,0 )
B ( 0,7 )
b) y = x
Step-by-step explanation:
Since the radius is 7,
So,
a) A ( 7,0 )
B ( 0,7 )
b) The coordinates of O are (0,0)
while M are to be founded.
Using Midpoint formula to find M
M = [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
M = [tex](\frac{0+7}{2} , \frac{7+0}{2})[/tex]
M = (3.5,3.5)
Now, Finding the equation of line OM
Slope = m = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{3.5-0}{3.5-0}[/tex]
Slope = [tex]\frac{3.5}{3.5}[/tex]
Slope = 1
Now, the y-intercept,b
Putting M(3.5,3.5) in slope intercept equation to get y-intercept, b
=> [tex]y = mx+b[/tex]
=> 3.5 = (1)(3.5) + b
=> b = 3.5-3.5
=> b = 0
Now, the equation becomes
=> [tex]y = mx+b[/tex]
=> y = (1)(x) + (0)
=> y = x
This is the required equation
