Question

amount vs time
what is the slope of the
line shown?
(x, y)
point 1 (1,6)
point 2 (5,2)
slope = (y₂ - y₁)/(x₂ - x₁)
slope = 7
slope = 1
cannot be
determined
slope = -1

Explanation:

Step1: Identify coordinates

Point 1: \((1, 6)\) (so \(X_1 = 1\), \(Y_1 = 6\))
Point 2: \((5, 2)\) (so \(X_2 = 5\), \(Y_2 = 2\))

Step2: Apply slope formula

Slope formula: \(\frac{Y_2 - Y_1}{X_2 - X_1}\)
Substitute values: \(\frac{2 - 6}{5 - 1} = \frac{-4}{4} = -1\)

Answer:

slope = -1