Answer:
The answer to your question is 5x - 2y = 0
Step-by-step explanation:
Data
A (2, 5)
B (4, 10)
Process
1.- Determina the slope of the line
slope = m = (y2 - y1) / (x2 - x1)
x1 = 2 y1 = 5 x2 = 4 y2 = 10
-Substitution
m = (10 - 5) / (4 - 2)
-Simplification
m = 5/2
2.- Find the equation of the line in the general form
y - y1 = m(x - x1)
-Substitution
y - 5 = 5/2(x - 2)
-Simplification
2(y - 5) = 5(x - 2)
2y - 10 = 5x - 10
5x - 2y - 10 + 10 = 0
-Result
5x - 2y = 0
