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Question
find the equation of a trend line using (-4, 32) and (7, -45) as anchor points. y = ?x +
Step1: Calculate slope $m$
$m = \frac{y_2-y_1}{x_2-x_1} = \frac{-45-32}{7-(-4)} = \frac{-77}{11} = -7$
Step2: Solve for intercept $b$
Substitute $m=-7$, $x=-4$, $y=32$ into $y=mx+b$:
$32 = (-7)(-4) + b \implies 32 = 28 + b \implies b= 32-28=4$
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$y = -7x +4$