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Nadya [2.5K]
3 years ago
7

Which option correctly shows how this formula can be rearranged to isolate x^2?

Mathematics
1 answer:
Dimas [21]3 years ago
4 0

Answer:

A

Step-by-step explanation:

We have:

\displaystyle m=\frac{x_1-x_2}{y_1-y_2}

And we want to isolate x₂.

So, let’s first remove the denominator by multiplying both sides by it:

\displaystyle m(y_1-y_2)=\frac{x_1-x_2}{y_1-y_2}(y_1-y_2)

The right side will cancel. This will leave:

\displaystyle m(y_1-y_2)=x_1-x_2

Now, we can subtract x₁ from both sides. So:

\displaystyle m(y_1-y_2)-x_1=-x_2

Finally, we will multiply both sides by -1. So:

\displaystyle x_2=-m(y_1-y_2)+x_1

Hence, our answer is A.

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