Question

the table shows the age and height of a student over time. (slope formula on board)

age (yr), x	height (in.), y
9	53
10	55
11	57

determine the slope of the data in the table. write the slope as an integer or decimal.
( m = )

calculator interface with +, -, ×, ÷, ( \frac{□}{□} ), ( □^□ ), ( sqrt{□} ), ( sqrt□{□} ), =, ( pi ), <, >, ( leq ), ( geq ), (□), ( pi ) and an input box

Explanation:

Step1: Recall the slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Choose two points from the table

Let's take the first two points: \((x_1, y_1)=(8, 51)\) and \((x_2, y_2)=(9, 53)\).

Step3: Substitute into the slope formula

Substitute \( x_1 = 8 \), \( y_1 = 51 \), \( x_2 = 9 \), \( y_2 = 53 \) into the formula:
\( m=\frac{53 - 51}{9 - 8}=\frac{2}{1}=2 \).
We can check with other points, for example, \((10, 55)\) and \((11, 57)\): \( m=\frac{57 - 55}{11 - 10}=\frac{2}{1}=2 \), which confirms the slope is consistent.

Answer:

\( 2 \)