Question

8.EE.5

Identify the unit rate of the proportional relationships:
1)
2)
In mort Answer
Insert Answer
3)
4)
Insert Answer
Insert Answer

Answer 1

1.)
`slope=2`

2.)
`slope=-3`

3.)
`slope=(1)/(4)`

4.)
`slope=-(4)/(5)`

Explanation:

The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:

`(x_(1),y_(1))\\\\(x_(2),y_(2))\\\\(y_(2)-y_(1))/(x_(2)-x_(1))=slope`

However, with certain graphs, the slope can be found in a simpler manner.

• You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line.

• Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each
  `(y)/(x)`

• When you move up, the number will be positive
  `((+y)/(x))`. If you move down, the number will be negative
  `((-y)/(x))`.
• If you move to the right, the number will be positive
  `((y)/(+x))`. If you move to the left, the number will be negative
  `((y)/(-x))`.