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
\(d =\sqrt{(x^{2} - x^{1})^{2} + (y^{2} - y^{1})^{2} }\).
Our first point, (-1,2) represents (\(^{x} 1\), \(^{y}1\)) and our second point,
(7,8) represents (\(^{x}2\), \(^{y}2\)).
So, plugging the given information into the formula, we have\(\sqrt{7 - (-1))^{2} + (8 - 2)^{2}}\).
Next, we simplify inside the parentheses to get\(\sqrt{(8)^{2} + (6)^{2}}\).
Next, 8² is 64 and 6² is 36 so we have \(\sqrt{64 + 36}\) or \(\sqrt{100}\) which is 10.
So the distance between the points (-1,2) and (7,8) is 10.
