Question

amount vs time
what is the slope
of the line shown?
(6, 8)
(x, y)
amount consumed each trial
point 1 (3, 4)
point 2 (6, 8)
(3, 4)
slope = (y₂ - y₁)/(x₂ - x₁)
time (sec)
slope = 1/6
slope = 3/4
slope = 4/3
slope = 6

Explanation:

Step1: Identify coordinates

Point 1: \((3, 4)\) (so \(X_1 = 3\), \(Y_1 = 4\))
Point 2: \((6, 8)\) (so \(X_2 = 6\), \(Y_2 = 8\))

Step2: Apply slope formula

Slope formula: \(\frac{Y_2 - Y_1}{X_2 - X_1}\)
Substitute values: \(\frac{8 - 4}{6 - 3} = \frac{4}{3}\)

Answer:

slope = 4/3