Question

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

Options in picture.

Answer 1

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.