Answer:
-6
Step-by-step explanation:
The y-intercept of a line is the point on the y-axis that is contained in the line. It is the point of intersection of the line and the y-axis.
Every point on the y-axis has coordinates (0, y), where y can be any real number. The x-coordinate of all points on the y-axis is 0. Since you are told your line goes through point (0, -6), then you know that that point is the y-intercept.
The y-intercept is -6.
Answer:
See below.
Step-by-step explanation:
1)
So we have the limit:

This is equivalent to:

To solve, we can use the following property:

Therefore, our limit is the same as:

We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:

You simply need to evaluate this to solve the limit. I don't have enough information to solve this, so maybe you have something more.
Similarly, for the second one:
2)
We have:

Using the same property:

And we are told that this is 16, so:

And we just need to evaluate this to find the limit.
I hope you find this helpful!