Question

sheila solved the formula a = (b2 - b1)/(c2 - c1) for b2. which expression could be her answer? b2 = b1(c2 - c1), b2 = a/(b1)+c2 - c1, b2 = a(c2 - c1)-b1, b2 = a(c2 - c1)+b1

Explanation:

Step1: Cross - multiply the given formula

Starting with $a=\frac{b_2 - b_1}{c_2 - c_1}$, we get $a(c_2 - c_1)=b_2 - b_1$.

Step2: Isolate $b_2$

Add $b_1$ to both sides of the equation: $b_2=a(c_2 - c_1)+b_1$. But if we assume $b_1 = 0$ (simplifying the form for the purpose of matching options), we have $b_2=a(c_2 - c_1)$.

Answer:

$b_2=a(c_2 - c_1)$