Question

What do the following two equations represent?

Answer 1

Answer:

C. Perpendicular lines

Step-by-step explanation:

The given system is:

$-2x+4y=5$

$-12x-6y=1$

We need to rewrite both lines in slope-intercept form.

$4y=2x+5$

$6y=-12x-1$

This implies:

$y=\frac{2}{4}x+\frac{5}{4}$

$y=-\frac{12}{6}x-\frac{1}{6}$

Simplify:

$y=\frac{1}{2}x+\frac{5}{4}$

$y=-2x-\frac{1}{6}$

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