A line passes through the points (p, a) and (p,-a) where p and a are real numbers and p≠0. Describe each of the following. Explain your reasoning. slope of the line
equation of the line
-intercept
slope of a line perpendicular to the given line

Answer

(p,a) and (p,-a) are

slope of the line

equation of the line

intercept

slope of a line perpendicular to the given line

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.

step-by-step explanation: