Answer: 10
Step-by-step explanation: In this problem, we're asked to find the distance between the points (-1,2) and (7,8) so we use the distance formula which states that the distance between two points is equal to
[tex]d =\sqrt{(x^{2} - x^{1})^{2} + (y^{2} - y^{1})^{2} }[/tex].
Our first point, (-1,2) represents ([tex]^{x} 1[/tex], [tex]^{y}1[/tex]) and our second point,
(7,8) represents ([tex]^{x}2[/tex], [tex]^{y}2[/tex]).
So, plugging the given information into the formula, we have[tex]\sqrt{7 - (-1))^{2} + (8 - 2)^{2}}[/tex].
Next, we simplify inside the parentheses to get[tex]\sqrt{(8)^{2} + (6)^{2}}[/tex].
Next, 8² is 64 and 6² is 36 so we have [tex]\sqrt{64 + 36}[/tex] or [tex]\sqrt{100}[/tex] which is 10.
So the distance between the points (-1,2) and (7,8) is 10.
