Determine the intercepts of the line. -7x-6 y-intercept: (?,?) x-intercept: (?,?)

Step-by-step explanation:

y= -7x-6

for y-intercept x=0

y= -7 (0)-6

y = 0-6

y = -6

y-intercept (0,-6)

for x-intercepy y=0

0= -7x-6

-7x=6

x= -0.86

x-intercept (-0.86,0)

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: