Question

17. Points W and Z are 8 unitsapart on the coordinate grid. Four facts aboutthe coordinates of the points are shown.• Point W is located at (-3, p).• The variable p has a value greater than 0.• Point Z is located at (-3, r).• The variable r has a value less than 0.What are possible values of p and r?p=OOlolOOO OCOOOOOOOOOOOOOSOOCOOOOOOOOOO0 0 0 0OOOOOOOCCO0 0

Answer 1

Possible values of p are from 1 to 7 while possible values of r are from -1 to -7

Here, we want to get the possible values of p and r

From the question, we have it that both W and Z are located at the same axis coordinate

What this mean is that it is a vertical line that connects both

Variable p has a value greater than zero means that it has a positive value

Variable r has a value less than zero means it has a negative value

Since the two are 8 units apart, we have it that;

p-r = 8

or p = 8 + r

Also, we have it that;

p > 0

r < 0

So, we need pairs of numbers that could work

We can use different values, minding the fact that p is positive and r is negative

If we have p = 7

r will be 7-8 = -1

p = 7 and r = -1 is a possible value

p = 6 and r = -2 is a possible value

p = 5 and r = -3 is a possible value

p = 4 and r = -4 is a possible value

p = 3 and r = -5 is a possible value

p = 2 and r = -6 is a possible value

p = 1 and r = -7 is a possible value

Thus, we have it that the value of p ranges from 1 to 7 while the value of r ranges from -1 to -7