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
| 12
| 18
8 | 24
rate of change: 2
first, substitute the rate of change into the equation.
y = mx + b
y = \square x + b

Explanation:

Step1: Recall slope-intercept form

The equation of a line in slope - intercept form is \(y = mx + b\), where \(m\) is the rate of change (slope) and \(b\) is the y - intercept.

Step2: Substitute the rate of change

We are given that the rate of change \(m = 2\). So we substitute \(m = 2\) into the equation \(y=mx + b\).
So the equation becomes \(y = 2x + b\).

Answer:

\(2\)