Question

(5,8),(-1,10)

Explanation:

Assuming the problem is to find the slope between the two points \((5, 8)\) and \((-1, 10)\), 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, \(x_1 = 5\), \(y_1 = 8\), \(x_2=-1\), and \(y_2 = 10\).

Step 2: Substitute the values into the formula

Substitute the values into the slope formula:
\(m=\frac{10 - 8}{-1 - 5}\)

Step 3: Simplify the numerator and the denominator

Simplify the numerator: \(10 - 8=2\)
Simplify the denominator: \(-1 - 5=-6\)
So, \(m=\frac{2}{-6}\)

Step 4: Reduce the fraction

Reduce the fraction \(\frac{2}{-6}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
\(m =-\frac{1}{3}\)

Answer:

The slope between the points \((5, 8)\) and \((-1, 10)\) is \(-\frac{1}{3}\)