Question

what is the slope of the line shown? point 1: (4, 5) point 2: (8, 3) slope = (y₂ - y₁)/(x₂ - x₁) slope = 2/3 slope = 1/2 cannot be determined slope = -1/2

Explanation:

Step1: Identify coordinates

Point 1: \((x_1, y_1) = (4, 5)\), Point 2: \((x_2, y_2) = (8, 3)\)

Step2: Apply slope formula

Slope formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Substitute values: \(m = \frac{3 - 5}{8 - 4}\)

Step3: Calculate numerator and denominator

Numerator: \(3 - 5 = -2\), Denominator: \(8 - 4 = 4\)

Step4: Simplify the fraction

\(m = \frac{-2}{4} = -\frac{1}{2}\)

Answer:

slope = -1/2