To find the distance between points A(-3,6) and C(4,1), you can use the distance formula in coordinate geometry. The
distance formula is given by: Distance = v (x2 - x1)2 + (y2 - y1)2
Where (x1, 1) and (x2, y2) are the coordinates of the two points. 1. First, identify the coordinates of points A and C: -
Point A: (-3, 6) - Point C: (4, 1) 2. Substitute the coordinates into the distance formula: -
Distance = (4 - (-3)) 2 + (1 - 6)2
_ Distance = v (1 + 3)2 + (1 - 6)2
_ Distance = V72 + (-5)2
- Distance = V49 + 25
- Distance = V74
3. Calculate the square root to find the distance: - Distance ~ V74 ~ 8.6 (rounded to the nearest tenth) Therefore, the distance between points A and C is approximately 8.6 units.
