Question

1. (6, -2), (4, 6)

Explanation:

Assuming the problem is to find the slope between the points \((6, -2)\) and \((4, 6)\), 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 \((x_2, y_2)=(4,6)\).

Step 2: Substitute the values into the formula

Substitute \(x_1 = 6\), \(y_1=-2\), \(x_2 = 4\) and \(y_2 = 6\) into the slope formula:
\(m=\frac{6-(-2)}{4 - 6}\)

Step 3: Simplify the numerator and the denominator

First, simplify the numerator: \(6-(-2)=6 + 2=8\)
Then, simplify the denominator: \(4-6=-2\)

Step 4: Calculate the slope

Now, \(m=\frac{8}{-2}=- 4\)

Answer:

The slope between the points \((6,-2)\) and \((4,6)\) is \(-4\)