Question

Solve m=itle="\frac{y_{2}- {y_{1}} }{x_2-x_{1} }" alt="\frac{y_{2}- {y_{1}} }{x_2-x_{1} }" align="absmiddle" class="latex-formula"> for $y_{2}$

Answer 1

Answer:

$y_2 = (x_2 - x_1) +y_1$.

Implied: $x_2\ne x_1$.

Step-by-step explanation:

Get rid of the denominator by multiplying both sides of this equation with $(x_2 - x_1)$:

$m(x_2 - x_1) = y_2 - y_1$.

Isolate $y_2$ by moving $(-y_1)$ to the left-hand side of the equation. That is: add $y_1$ to both sides of this equation.

$m(x_2 - x_1) + y_1 = y_2$.

By the symmetric property of equalities,

$y_2 = m(x_2 - x_1) + y_1$