Answer:
y2 = m(x2 - x1) + y1
Step-by-step explanation:
Given the slope formula :
m = (y2 - y1) / (x2 - x1)
To obtain an equivalent expression :
We cross multiply :
m(x2 - x1) = y2 - y1
Making y2 the subject ;
Add y1 to both sides
m(x2 - x1) + y1 = y2 - y1 + y1
m(x2 - x1) + y1 = y2
y2 = m(x2 - x1) + y1