Answer: OPTION B
Step-by-step explanation:
The equation of a line that passes through the origin is the following:

Where "m" is the slope of the line.
By definition, Proportional relationships have the following form:

Where "k" is the Constant of proportionality.
Then, as you can notice, if you graph a Proportional relationship you will get a line that passes through the origin.
Therefore, based on the explained above, you can conclude that the option that shows a function that represents a Proportional relationship is the Option B.
Then, this is:

-14a-5=-12
+5 +5
-14a=-7
Divide -7 by -14a
a=2
See the attachment below.
Hope it helps!
Answer:
The y-intercept is 6
Step-by-step explanation:
The y-intercept of a function is where the graph of an equation touches or crosses the vertical axis. This is usually the value of y when x = 0.
For this particular function, when x = 0 ⇒
f(0) = 0^2 + 4(0) + 6
= 0 + 0 + 6
= 6
Therefore, the y-intercept of this function is 6