Answer:
Explanation:
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. Let's calculate the distance between the points (-6,1) and (3,1) step-by-step:
1. Identify the coordinates of the two points:
Point 1: (-6,1)
Point 2: (3,1)
2. Use the distance formula:
The distance formula is given by:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
Let's substitute the values of the coordinates into the formula:
d = √[(3 - (-6))^2 + (1 - 1)^2]
3. Simplify the formula:
d = √[(3 + 6)^2 + (0)^2]
d = √[9^2 + 0]
d = √[81]
d = 9
Therefore, the distance between the points (-6,1) and (3,1) is 9 units.