Question
W) Given \( f(x)=-\frac{1}{3} x+10 \). The slope is multiplied by 6 and the \( y \)-intercept divided by -5 . Choose the resulting equation: __ \( y=-2 x-2 \) \( y=2 x+2 \) \( y=2 x-2 \) \( y=-2 x+2 \)
Ask by Rose Herrera. in the United States
Feb 03,2025
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Answer
The resulting equation is \( y = -2x - 2 \).
Solution
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Bonus Knowledge
Let's break down the transformation of the equation step-by-step. The original slope of \( f(x) \) is \(-\frac{1}{3}\). When we multiply this slope by 6, we get: \[ - \frac{1}{3} \times 6 = -2 \] Next, the original \( y \)-intercept is 10. Dividing this by -5 gives us: \[ \frac{10}{-5} = -2 \] With the new slope and \( y \)-intercept, we can write the resulting equation as: \[ y = -2x - 2 \] So, the answer is: \( y = -2x - 2 \)