Answer:
The answer to your question is the third option
Step-by-step explanation:
To know if two lines are parallel we must get their slopes if the slopes are equal, the lines are parallel.
Data
A (2,2)
B (3,6)
C(0,5)
D(1,9)
Formula
slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
Process
1.- Calculate the slope of line 1
slope 1 = [tex]\frac{6 - 2}{3 - 2}[/tex]
slope 1 = [tex]\frac{4}{1}[/tex]
slope 1 = 4
2.- Calculate slope 2
slope 2 = [tex]\frac{9 - 5}{1 - 0}[/tex]
slope 2 = [tex]\frac{4}{1}[/tex]
slope 2 = 4
3.- Compare the slope
slope 1 = 4 and slope 2 = 4, both slope are equals, then the lines are parallel.
