How do you find five ordered pairs of y=-2x?

Question

Savannah Anderson · Accepted Answer

Pick 5 arbitrary values for #x# and for each #x# value calculate the the y value of the corresponding pair by applying the equation.

For example if we choose as our #x# values: #color(white)("XXXX")##{ 0, 1, 2, 3, 4}# For #x=0# #color(white)("XXXX")##y= -2(0) = 0# #color(white)("XXXX")##color(white)("XXXX")##rarr# ordered pair: #(0,0)# For #x=1# #color(white)("XXXX")##y= -2(1) = -2# #color(white)("XXXX")##color(white)("XXXX")##rarr# ordered pair: #(1,-2)# For #x=2# #color(white)("XXXX")##y= -2(2) = -4# #color(white)("XXXX")##color(white)("XXXX")##rarr# ordered pair: #(2,-4)# For #x=3# #color(white)("XXXX")##y= -2(3) = -6# #color(white)("XXXX")##color(white)("XXXX")##rarr# ordered pair: #(3,-6)# For #x=4# #color(white)("XXXX")##y= -2(4) = -8# #color(white)("XXXX")##color(white)("XXXX")##rarr# ordered pair: #(4,-8)#

Hazel Anglin · Answer

undefined To find five ordered pairs for the equation $ y = -2x $, you can choose arbitrary values for $ x $ and then calculate the corresponding $ y $ values using the given equation.

1. When $ x = 0 $, $ y = -2(0) = 0 $. So, the ordered pair is $ (0, 0) $.
2. When $ x = 1 $, $ y = -2(1) = -2 $. So, the ordered pair is $ (1, -2) $.
3. When $ x = 2 $, $ y = -2(2) = -4 $. So, the ordered pair is $ (2, -4) $.
4. When $ x = 3 $, $ y = -2(3) = -6 $. So, the ordered pair is $ (3, -6) $.
5. When $ x = -1 $, $ y = -2(-1) = 2 $. So, the ordered pair is $ (-1, 2) $.

Therefore, the five ordered pairs for the equation $ y = -2x $ are $ (0, 0) $, $ (1, -2) $, $ (2, -4) $, $ (3, -6) $, and $ (-1, 2) $.