using the distance formula calculate the distance to one decimal place between the points (-3,5) and (4,1)

well, you have the formula. Use it. What do you get?

To calculate the distance between two points using the distance formula, follow these steps:

Step 1: Understand the distance formula.
The distance formula is derived from the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse's length is equal to the sum of the squares of the other two sides. For two points in a coordinate plane, the distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points, and d represents the distance between them.

Step 2: Identify the coordinates of the points.
Given the points (-3,5) and (4,1), we can label the coordinates as follows:
(x1, y1) = (-3,5) and (x2, y2) = (4,1).

Step 3: Plug the values into the distance formula.
Using the identified coordinates, we can substitute the values into the distance formula:

d = √((4 - (-3))^2 + (1 - 5)^2)

Step 4: Simplify the equation.
Continuing the calculation, we have:

d = √((4 + 3)^2 + (1 - 5)^2)
= √(7^2 + (-4)^2)
= √(49 + 16)
= √65

Step 5: Calculate the square root and round to one decimal place.
To find the numerical value of √65, use a calculator or estimation techniques. The result is approximately 8.06 when rounded to one decimal place.

Therefore, the distance between the points (-3,5) and (4,1) is approximately 8.1 units.