Question

1. (8, -3), (-7, 0)

Explanation:

Assuming the problem is to find the slope between the two points \((8, -3)\) and \((-7, 0)\), we can use the slope formula.

Step1: Recall the slope formula

The slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Let \((x_1, y_1)=(8, - 3)\) and \((x_2, y_2)=(-7,0)\).

Step2: Substitute the values into the formula

Substitute \(x_1 = 8\), \(y_1=-3\), \(x_2=-7\) and \(y_2 = 0\) into the slope formula:
\(m=\frac{0-(-3)}{-7 - 8}=\frac{0 + 3}{-15}=\frac{3}{-15}\)

Step3: Simplify the fraction

Simplify \(\frac{3}{-15}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 3.
\(\frac{3\div3}{-15\div3}=\frac{1}{-5}=-\frac{1}{5}\)

Answer:

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