Answer
a) $y-5 = 2*(x+2)$
b) an infinite quantity of equations
Work Step by Step
a)
$y-y_{1} = m*(x-x_{1})$
$y-5 = m*(x+2)$
$y-5 = 2*(x+2)$
b)
$m$ can be any real number, so there could a large number of possible values for $m$. Thus, there are an infinite number of values (and an infinite number of equations).