Answer:
Option (4)
Step-by-step explanation:
Slope a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Since, blue line is passing through two points (-4, -2) and (0, 4),
Slope of the blue line = [tex]\frac{4+2}{0+4}[/tex]
= [tex]\frac{3}{2}[/tex]
Similarly, green line is passing through two points (-4, 1) and (0, -2),
Slope of the green line = [tex]\frac{1+2}{-4-0}[/tex]
= [tex]-\frac{3}{4}[/tex]
Since, [tex]\frac{3}{2}\neq -\frac{3}{4}[/tex]
Neither these slopes are opposite reciprocals.
Therefore, both the lines are neither parallel nor perpendicular.
Option (4) will be the correct option.
