Answer:
Explanation:
To find the distance between two points in the coordinate plane, we can use the distance formula:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Applying the formula to the points (4,-7) and (-1,5), we get:
distance = √((-1 - 4)^2 + (5 - (-7))^2)
= √((-5)^2 + (12)^2)
= √(25 + 144)
= √169
= 13
Therefore, the distance between the points (4,-7) and (-1,5) is 13 units.