Question

a plant is 5 centimeters tall when first measured and grows 2 centimeters per week. write a linear function rule that represents the height of the plant, y, after x weeks.
slope - intercept form
y = ?x +
(y=mx + b)

Explanation:

Step1: Identify slope (m)

The plant grows 2 cm per week, so the rate of change (slope) \( m = 2 \).

Step2: Identify y-intercept (b)

Initial height is 5 cm (when \( x = 0 \)), so \( b = 5 \).

Step3: Write linear function

Using \( y = mx + b \), substitute \( m = 2 \) and \( b = 5 \).

Answer:

\( y = 2x + 5 \)