Hi There!
Solution,
Point Slope Form: y - y1 = m(x - x1)
Now you have a reference equation of what the answer should look like.
By looking at the answer choices you can eliminate A.
Tip: When you have a negative number you are going to add. For Example, if you have -8, you will input x + 8 or y + 8.
Tip 2: When you have a positive number you are going to subtract. For Example, if you have 3 you will input x - 3 or y - 3.
We can eliminate B because its not subtracting 3.
We can also eliminate C because its not adding -8.
The best answer choice is D.
Answer,
y – 3 = 6(x + 8)
I hope you understand, so you can do this in the future on your own.
Hope This Helps :)
Answer:
The answer to this question is d
Diameter= 2 times the radius
2r=d
2r=10.2
R= 10.2/2
R=5.1
Therefore, the radius is 5.1 units which makes the answer choice C correct.
Hopefully, this helps!
Answer:
A. (1, -2)
Step-by-step explanation:
We can substitute the variables of x and y into the inequality of
.
Let's start with A, -2 being y and 1 being x.

The absolute value of 1 is 1, and negating that gets us -1.

Indeed, -2 is less than -1! So A is a solution to the inequality.
Let's test the rest of them, just in case.
For B:

Absolute value of 1 is 1, negating it is -1.

-1 is EQUAL to -1, not less than it, so is not a solution to the inequality.
Let's try C.

Absolute value of 1 is 1, negating it is -1.

0 is GREATER than -1, so that is not a solution to the inequality.
Hope this helped!