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
? = 2( ? ) + b

Explanation:

Step1: Identify substitution values

We know to substitute \( x = 2 \) and \( y = 12 \) into \( y = 2x + b \). So the left - hand side (LHS) is \( y \), which is 12, and the right - hand side (RHS) has \( x = 2 \) inside the parentheses.

Step2: Fill in the blanks

Substitute \( y = 12 \) for the first blank and \( x = 2 \) for the second blank. So the equation becomes \( 12=2(2)+b \).

Answer:

The first blank is \( 12 \) and the second blank is \( 2 \), so the filled - in equation is \( 12 = 2(2)+b \)