Question

part: 0/4
part 1 of 4
(a) use the points (946, 130) and (994, 70) to write a linear model for these data.
y =

Explanation:

Step1: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{70-130}{994-946}=\frac{-60}{48}=-\frac{5}{4}=-1.25$

Step2: Find y-intercept $b$

Use point $(946,130)$ in $y=mx+b$
$130 = -\frac{5}{4}(946) + b$
$130 = -1182.5 + b$
$b=130 + 1182.5=1312.5$

Step3: Write linear model

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

Answer:

$y = -\frac{5}{4}x + 1312.5$ or $y=-1.25x+1312.5$