Answer:
<em>y = </em>
<em> x + 1 </em>
Step-by-step explanation:
If AB ⊥ CD , then ( 
) ( 
) = - 1
y = - 
x + 3
y - ( - 4) = ( x - 7) ⇔ <em>y = </em><em> x + 1 </em>
The center of the circle is the midpoint of the points or ((-4+6)/2,(-3+3)/2)=(1,0). Now, the diameter is the distance between the points. Using distance formulas (or noticing that the y-values are the same so it is a horizontal line), the distance is 10. Therefore, the radius is 5. The equation of a circle is (x-a)^2+(y-b)^2=r^2 where (a,b) is the center. Therefore, the equation is (x-1)^2+(y-0)^2=5^2.
Quadrant General Form of Point in this Quadrant Example
I (+, +) (5, 4)
II (−, +) (−5, 4)
III (−, −) (−5, −4)
IV (+, −) (5, −4)
