Answer:
The correct answer is D) y + 1 = -2(x - 5)
Step-by-step explanation:
All equations can be written in the following point-slope form.
y - y1 = m(x - x1)
In which, m is the slope. (x1, y1) is the given point. If we use the information given we can find the equation.
y - - 1 = -2(x - 5)
y + 1 = -2(x - 5)
Here is the equation:
Since 4 is next to the parentheses, you have to multiply everything in the parentheses by 4.
First multiply 3x by 4:
Now multiply 2 by 4:
Now add them together:
Your answer is <u>12x + 8</u>
Okay and what is the question you are asking?
Answer:
The point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.
Step-by-step explanation:
The distance between two points (x₁, y₁) and (x₂, y₂) on the x-y plane can be calculated with:
√((x₁ - x₂)² + (y₁ - y₂)²)
So in this case, with the points (-3, 2) and (4, 0), the distance is:
√((-3 - 4)² + (2 - 0)²)
√(49 + 4)
√(53) ≈ 7.28
Since 7.28 > 5, the point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.
