Question

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

Explanation:

Step1: Identify coordinates

Point 1: \((2, 1)\), Point 2: \((8, 1)\)

Step2: Apply slope formula

Slope formula: \(\text{slope} = \frac{Y_2 - Y_1}{X_2 - X_1}\)
Substitute \(Y_1 = 1\), \(Y_2 = 1\), \(X_1 = 2\), \(X_2 = 8\):
\(\text{slope} = \frac{1 - 1}{8 - 2} = \frac{0}{6} = 0\)

Answer:

slope = 0