Answer:
C. Perpendicular lines
Step-by-step explanation:
The given system is:
[tex]-2x+4y=5[/tex]
[tex]-12x-6y=1[/tex]
We need to rewrite both lines in slope-intercept form.
[tex]4y=2x+5[/tex]
[tex]6y=-12x-1[/tex]
This implies:
[tex]y=\frac{2}{4}x+\frac{5}{4}[/tex]
[tex]y=-\frac{12}{6}x-\frac{1}{6}[/tex]
Simplify:
[tex]y=\frac{1}{2}x+\frac{5}{4}[/tex]
[tex]y=-2x-\frac{1}{6}[/tex]
The slope of the first line is the negative reciprocal of the slope of the second line.
The two lines are perpendicular
The third option is correct
