Answer:
y = 2500x -4989000
Step-by-step explanation:
To find the slope we use the formula
m = (y2-y1)/(x2-x1)
= (31000-26000)/(2008-2006)
=5000/2
2500
The slope is 2500
Then we use point slope form to write an equation
y-y1 = m(x-x1)
y-26000 =2500(x-2006)
Distribute
y-26000 = 2500x -5015000
Add 26000 to each side
y-26000+26000 = 2500x -5015000+26000
y = 2500x -4989000
Answer:
3.162 units
Step-by-step explanation:
First identify the points that undergo transformation
You have;
A = (0,0) and B =(1,3)
The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.
<u>Finding coordinates of the image points A' and B' </u>
A'= (0+2,0+1) = (2,1)
B'=(1+2, 3+1)=(3,4)
<u>Finding the distance A'B'</u>
The formula for distance d is

where
x₁=2
x₂=3
y₁=1
y₂=4
d=distance between two points
Applying the formula

The distance A'B' is √10 =3.162 units