Answer:
10 units
Step-by-step explanation:
to find the distance between two points you will need to use the distance formula:
[tex]\sqrt{(x1-x2)^{2}+(y1 - y2)^{2} }[/tex]
the x1 refers to the x coordinate in the first bracket, the x2 refers to the x coordinate in the second bracket, etc.
insert the coordinates into the equation:
[tex]\sqrt{(1 - 7)^{2}+(1--7)^{2} }[/tex]
a double negative equals a positive
insert this equation into your calculator:
[tex]\sqrt{(1-7)^{2}+(1+7)^{2} }[/tex] = 10
∴ the distance between the points (1,1) and (7,-7) are 10 units
I hope this was helpful :-)
