Question

1. (7, -6), (6, 0)

Explanation:

Assuming the problem is to find the slope between the two points \((7, -6)\) and \((6, 0)\), 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 \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Step 2: Identify the coordinates

Let \((x_1, y_1)=(7, -6)\) and \((x_2, y_2)=(6, 0)\).

Step 3: Substitute the values into the formula

Substitute \(x_1 = 7\), \(y_1=-6\), \(x_2 = 6\), and \(y_2 = 0\) into the slope formula:

$$ m=\frac{0 - (-6)}{6 - 7} $$

Step 4: Simplify the numerator and the denominator

Simplify the numerator: \(0-(-6)=0 + 6=6\)
Simplify the denominator: \(6 - 7=-1\)

Step 5: Calculate the slope

$$ m=\frac{6}{-1}=-6 $$

Answer:

The slope between the points \((7, -6)\) and \((6, 0)\) is \(-6\).