Question

1. The coordinate plane shows the locationsof several places in a city. To find thecoordinates of the library, start at theOriginHigh School1Library2. The library is 0.75 unit to the left of theorigin, so the x-coordinate isPolice-2- 1O CityHall3. The library isunit(s) upfrom the x-axis, so the y-coordinate is1Middle School4. The coordinates of the library are.).5. Write the x-coordinate of the library as a fraction,6. Write the y-coordinate of the library as a fraction.7. The coordinates of the library, written as fractions, are.On the Back!8. What are the coordinates of the middle school?

Answer 1

The coordinate plane shows us a positive x-axis to the right and a positive y-axis to the left. We have a scale where each square have '0.25' as the unit side. Since the library is locate 3 squares to the negative side of the x-axis, and 2 to the positive side of the y-axis, its coordinate is (-0.75,0.5).

Then, the answer to the second question is

2) The library is 0.75 unit to the left of the origin, so the x-coordinate is -0.75

With the same logic, the other texts are:

3) The library is 0.5 unit(s) up from the x-axis, so the y-coordinate is 0.5

4) The coordinates of the library are (-0.75,0.5).

5)Write the x-coordinate of the library as a fraction:

We have the x-coordinate as -0.75, which could be represented as:

`-0.75=-(75)/(100)=-(3)/(4)`

6)Write the y-coordinate of the library as a fraction:

We have the y-coordinate as 0.5, which could be represented as:

`0.5=(5)/(10)=(1)/(2)`

7) The coordinates of the library, written as fractions, are

`(-(3)/(4),(1)/(2))`

8) What are the coordinates of the middle school?

The middle school is one square to the left and 6 squares down, which means it is in the negative direction of both axis and its coordinates have respectively the values 0.25 and 1.5.

The coordinates of the middle school are (-0.25, -1.5).