Question

1. (-6, 2), (0, 1)

Explanation:

Assuming the problem is to find the slope of the line passing through the points \((-6, 2)\) and \((0, 1)\), 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 \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Let \((x_1, y_1)=(-6, 2)\) and \((x_2, y_2)=(0, 1)\).

Step 2: Substitute the values into the formula

Substitute \(x_1=-6\), \(y_1 = 2\), \(x_2=0\) and \(y_2=1\) into the slope formula:
\(m=\frac{1 - 2}{0-(-6)}\)

Step 3: Simplify the numerator and the denominator

First, simplify the numerator: \(1 - 2=-1\)
Then, simplify the denominator: \(0-(-6)=0 + 6=6\)
So, \(m=\frac{-1}{6}=-\frac{1}{6}\)

Answer:

The slope of the line passing through the points \((-6, 2)\) and \((0, 1)\) is \(-\frac{1}{6}\)