Question

jasmine is hiking at a state park. her distance from home, y, is a function of the time she hikes, x. time (h), x | distance from home (mi), y 2 | 12 5 | 18 8 | 24 rate of change: 2 substitute x = 2 and y = 12 into the equation. y = mx + b y = 2x + b 12 = 2(2) + b 12 = 4 + b

Explanation:

Step1: Solve for \( b \)

From \( 12 = 4 + b \), subtract 4 from both sides: \( b = 12 - 4 \)

Step2: Calculate \( b \)

\( b = 8 \)

Answer:

\( b = 8 \)