A) M is the midpoint of AB. If the coordinates of A are (−1,5) and the coordinates of M are (3,3), what are the coordinates of B? b) What is the length of the line segment joining point A to point B in part a? (Round to the nearest tenth if necessary)

Reference formula
d = $\sqrt{\left(x_2-x_1\right)^2+\left (y_2-y_1\right)^2}$√(x2−x1)2+(y2−y1 )2

$a^2+b^2=c^2$

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guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

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