We have been given a table that shows a linear relationship between x and y. We are asked to find the rate of change change of y with respect to x.
To solve our given problem, we will find the slope of the line passing through the given points.

Let us find slope of line using points
and
.




Therefore, the rate of change of y with respect to x is
.
1) 216
2) 203
3) 315
4) 256
5) 576
6) 440
Answer:
-42.875 or -42 7/8
Step-by-step explanation:
you can turn -6 1/8 into a decimal: -6.125 and multiply it with 7.
Answer:
The perimeter of the rectangle is 18 units.
Step-by-step explanation:
The image included below presents the location of the points on the Cartesian plane. From Geometry we get that the perimeter (
), dimensionless, of the rectangle is the sum of its four sides. That is to say:
(1)
Where
,
,
and
are the sides of the rectangle, dimensionless.
Each side value is found by means of the Pythagorean Theorem:
![AB = \sqrt{[2-(-1)]^{2}+(1-1)^{2}}](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%5B2-%28-1%29%5D%5E%7B2%7D%2B%281-1%29%5E%7B2%7D%7D)

![BC = \sqrt{(2-2)^{2}+[(-5)-1]^{2}}](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B%282-2%29%5E%7B2%7D%2B%5B%28-5%29-1%5D%5E%7B2%7D%7D)



![DA = \sqrt{(-1-1)^{2}+[1-(-5)]^{2}}](https://tex.z-dn.net/?f=DA%20%3D%20%5Csqrt%7B%28-1-1%29%5E%7B2%7D%2B%5B1-%28-5%29%5D%5E%7B2%7D%7D)

And the perimeter of the rectangle is:


The perimeter of the rectangle is 18 units.