Question

what is the slope of the line shown? point 1: (2, 8) point 2: (6, 4) slope = (y₂ - y₁)/(x₂ - x₁) slope = 0; cannot be determined; slope = 1; slope = -1

Explanation:

Step1: Identify the two points

We have Point 1: \((2, 8)\) and Point 2: \((6, 4)\). Let \( (x_1, y_1)=(2, 8) \) and \( (x_2, y_2)=(6, 4) \).

Step2: Apply the slope formula

The slope formula is \( \text{slope}=\frac{y_2 - y_1}{x_2 - x_1} \). Substitute the values: \( \text{slope}=\frac{4 - 8}{6 - 2} \).

Step3: Calculate the numerator and denominator

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

Step4: Simplify the fraction

Now, simplify \( \frac{-4}{4}=-1 \).

Answer:

slope = -1