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Question
sheila solved the formula a = (b2 - b1)/(c2 - c1) for b2. which expression could be her answer? b2=a(c2 - c1)+b1 b2=a(c2 - c1)-b1 b2=(a/b1)+c2 - c1 b2=b1(c2 - c1)
Step1: Start with given formula
Given $a=\frac{b_2 - b_1}{c_2 - c_1}$, we want to solve for $b_2$.
Step2: Multiply both sides by $(c_2 - c_1)$
$a(c_2 - c_1)=b_2 - b_1$.
Step3: Add $b_1$ to both sides
$b_2=a(c_2 - c_1)+b_1$.
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$b_2=a(c_2 - c_1)+b_1$