Question

1. (-12, 16) and (-4, -2)

or neither.

Explanation:

Assuming the problem is to find the slope between the two points \((-12, 16)\) and \((-4, -2)\) (since it's a common problem with two points), here's the solution:

Step1: Recall the slope formula

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

Step2: Identify the coordinates

Let \((x_1, y_1)=(-12, 16)\) and \((x_2, y_2)=(-4, -2)\).

Step3: Substitute into the formula

Substitute the values into the slope formula: \(m=\frac{-2 - 16}{-4 - (-12)}\).

Step4: Simplify the numerator and denominator

Simplify the numerator: \(-2-16=-18\).
Simplify the denominator: \(-4 - (-12)=-4 + 12 = 8\).
So, \(m=\frac{-18}{8}\).

Step5: Reduce the fraction

Reduce \(\frac{-18}{8}\) by dividing both the numerator and denominator by their greatest common divisor, which is 2. We get \(m =-\frac{9}{4}\).

Answer:

\(-\frac{9}{4}\)