Answer:
Option A
Explanation:
Given
m=( y_2- y_1)/(x_2-x_1 )
In order to get the equivalent equation, multiplying the denominator x_2-x_1with m.
m(x_2-x_1 )=y_2- y_1
Adding y1 to both sides of equation will give:
m(x_2-x_1 )+ y_1=y_2- y_1+y_1
So the end result will be:
m(x_2-x_1 )+ y_1=y_2
Can also be written as:
y_2=m(x_2-x_1 )+ y_1
Comparing it the given options gives us that Option A is the correct answer.