Question

Choose an appropriate scale for each axis and plot the following points on the grid provided (20,0) (-8,4) (12,-12) (0,-16) one unit on the x-axis equals , one unit on the y-axis equals

Answer 1

The first thing we have to do is identify the maximum and minimum values for x and y:

• x-max = 20

,

• x-min = -8

• y-max = 4

,

• y- min = -16

The second thing to take into account is how many separations our grid has in x and y

• In this case, it has 5 separations on both sides for both the x-axis and the y-axis.

We look for the furthest value from each of the axes and divide it into 5 to see how much the separation between them should be:

• x-Axis

`(20)/(5)=4`

• y-Axis

`(16)/(5)=3.2\approx4`

Then each of our separations will be worth 4 for both the x-axis and the y-axis. and we proceed to graph our points