Answer:
The points are (-16,7),(10,7),(-3,-6) and (-3,20)
Step-by-step explanation:
We have that one endpoint is at (-3,7) and the length is 13 units.
A point that is 13 units horizontally to the left and right will have the same y-coordinate but with x-coordinates that are 13 units from -3.
[tex] | - 3 - x| = 13[/tex]
[tex]( - 3 - x) = 13 \: or \: - ( - 3 - x) = 13[/tex]
[tex]x = - 16 \: or \: x = 10[/tex]
Hence we have (-16,7) and (10,7)
Also a point that is 13 units vertically up and down will have the same x-coordinate but with y-coordinates that are 13 units from 7.
[tex] |y - 7| = 13[/tex]
[tex](y - 7) = 13 \: or \: - (y - 7) = 13[/tex]
[tex]y= - 6 \: or \: y = 20[/tex]
Hence we again have (-3,-6) and (-3,20)
