Question

part: 0 / 4
part 1 of 4
(a) use the points (5, 44) and (9, 53) to write a linear model for these data.
y =

Explanation:

Step1: Calculate slope $m$

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{53-44}{9-5}=\frac{9}{4}=2.25$

Step2: Find y-intercept $b$

Use point $(5,44)$: $44=2.25\times5 + b$
$44=11.25 + b$
$b=44-11.25=32.75$

Step3: Write linear model

Substitute $m$ and $b$ into $y=mx+b$

Answer:

$y=2.25x+32.75$