Question

(-5,3) (5,1)

Explanation:

Assuming the problem is to find the slope between the two points \((-5, 3)\) and \((5, 1)\), we can use the slope formula.

Step 1: Recall the slope formula

The slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Here, \(x_1=-5\), \(y_1 = 3\), \(x_2=5\), and \(y_2=1\).

Step 2: Substitute the values into the formula

Substitute the values into the slope formula: \(m=\frac{1 - 3}{5-(-5)}\)

Step 3: Simplify the numerator and the denominator

Simplify the numerator: \(1-3=-2\)
Simplify the denominator: \(5 - (-5)=5 + 5=10\)

Step 4: Calculate the slope

Now, \(m=\frac{-2}{10}=-\frac{1}{5}\)

Answer:

The slope between the two points is \(-\frac{1}{5}\)