Find the distance between these two points using the Pythagorean Theorem.
(-3,5) (7,-1)
To find the distance between two points using the Pythagorean Theorem, we first need to find the difference in the x-coordinate and y-coordinate of the two points.
Let's call the coordinates of the first point (-3,5) as (x1, y1) and the coordinates of the second point (7,-1) as (x2, y2).
Difference in x-coordinate: x2 - x1 = 7 - (-3) = 10
Difference in y-coordinate: y2 - y1 = -1 - 5 = -6
Now we can use these differences to find the distance using the Pythagorean Theorem, which states that:
Distance = sqrt((Difference in x-coordinate)^2 + (Difference in y-coordinate)^2)
Plugging in the differences we found:
Distance = sqrt(10^2 + (-6)^2)
Distance = sqrt(100 + 36)
Distance = sqrt(136)
Therefore, the distance between the two points (-3,5) and (7,-1) is sqrt(136) or approximately 11.66 units.