Answer:
y = x + 4
Step-by-step explanation:
Well, the important thing is to get the slope first. The slope here is 1.
Here's how to find the slope yourself:
m (slope) = (y₁ - y₂)/x₁ - x₂
m (slope) = (3 - 4)/(-1 - 0)
m (slope) = -1/-1
m (slope) = 1
So, we found the slope. Now, plug it into the equation. y = 1x + b. Cool, so now let's choose the first point to solve this.
So, 3 = 1(-1) + b
3 = -1 + b
3+1 = -1+1 + b
The ones cancel out...
4 = b
So, now you plug that into the equation... y = 1x + 4, although you would write it as y = x + 4.
Answer:
The point A′ of the image coincides with point D of the preimage. The point B′ of the image coincides with point E of the preimage.
Step-by-step explanation:
It is given that regular octagon ABCDEFGH rotates 135º clockwise about its center to form octagon A′B′C′D′E′F′G′H′.
It means the central angle divided in 8 equal parts. The central angle between two consecutive vertices is

The regular octagon ABCDEFGH rotates 135º clockwise.








Therefore the point A′ of the image coincides with point D of the preimage. The point B′ of the image coincides with point E of the preimage.
Answer:
Option 1: 
Step-by-step explanation:
Find the slope of the perpendicular line by finding the negative reciprocal of the original slope. (Negative reciprocal = flip upside down and add a negative). So we get -4 for the perpendicular slope.
Next, we know the point (-2,6) is on the line, so we can get x=-2 and y=6.
Plug this into point-slope form: 


Calculate for the mean/ average of the given numbers:
μ = (1 + 2 + 3 + 4 + 5) / 5 = 3
Then, we calculate for the summation of the squares of differences of these numbers from the mean, S
S = (1 - 3)² + (2 - 3)² + (3 - 3)² + (4 - 3)² + (5 - 3)²
S = 10
Divide this summation by the number of items and take the square root of the result to get the standard deviation.
SD = sqrt (10 / 5) = sqrt 2
SD = 1.41
Thus, the standard deviation of the given is equal to 1.41.