Answer:sqrt(117)
To find the distance between two points in a coordinate plane, we use the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Step-by-step explanation:In this case, our two points are (-3, 4) and (6, -2). So we can plug in the values:
distance = sqrt((6 - (-3))^2 + (-2 - 4)^2)
distance = sqrt((9)^2 + (-6)^2)
distance = sqrt(81 + 36)
distance = sqrt(117)
Therefore, the expression that gives the distance between the points (-3, 4) and (6, -2) is sqrt(117).