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Alexus [3.1K]
3 years ago
6

What do the following two equations represent?

Mathematics
1 answer:
cricket20 [7]3 years ago
6 0

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

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