Answer:
y-9= -4(x+1)
Step-by-step explanation:
First, you should know what the format for point slope form is. y-y1=m(x-x1). Now, fill in the points to the x1 and y1 variables. It doesn't matter what ordered pair you use. If the number you fill in is negative, for example, -1, change it to a positive 1. If you're plugging in a positive number such as 9, it becomes -9. Now, it may look like this: y-9=m(x+1). However, you still need to find slope. You can use the expression y-y1/x-x1. 9-1=8. -1-1= -2. So, your slope is 8/-2. However, you can simplify this to -4. Now, plug in -4 to your equation to have your final answer: y-9=-4(x+1).
The answer to this question is 27/28
Answer:
C. (-2,4)
Step-by-step explanation:
We have been given a function
and we are asked to find the vertex of our absolute value function.
The rules for the translation of a function are as follows:



Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.
Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.

Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.