Solve m=\frac{y_(2)- {y_(1)} }{x_2-x_(1) } for y_(2)

Question

asked May 23, 2020 210k views

1 Answer

IkiK · Answer 1 · 2020-05-28T01:05:58+0000

Answer:

y_2 = (x_2 - x_1) +y_1 .

Implied:
$x_2\\e x_1$ .

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