Question

(a) use the points (5, 44) and (9, 53) to write a linear model for these data. y = 2.25x + 32.75 part: 1 / 4 part 2 of 4 (b) interpret the meaning of the slope in the context. the slope of 2.25 means that the average height of girls select during this period.

Explanation:

Step1: Calculate slope

$m=\frac{53-44}{9-5}=\frac{9}{4}=2.25$

Step2: Find y-intercept

Substitute $(5,44)$ and $m=2.25$ into $y=mx+b$:
$44=2.25\times5 + b$
$44=11.25 + b$
$b=44-11.25=32.75$

Step3: Interpret slope context

Slope = change in y per x increase

Answer:

(a) $y=2.25x + 32.75$
(b) The slope of 2.25 means that the average height of girls increases by 2.25 units for each 1-unit increase in age (the x-variable) during this period.