Question

What do the following two equations represent?

y=6x-2
2x-12y=24
a The same line
b Distinct parallel lines
c Perpendicular lines.
d Intersecting, but not perpendicular lines

Answer 1

The two given equations represent distinct parallel lines.

Step-by-step explanation:

The two given equations are:

y = 6x - 2

2x - 12y = 24

To determine what the equations represent, we need to analyze their slopes. The slope of the first equation, y = 6x - 2, is 6. The slope of the second equation, 2x - 12y = 24, can be found by rewriting it in slope-intercept form: y = (1/12)x - 2. The slope of the second equation is 1/12.

Since the slopes of the two equations are not equal, the equations represent distinct parallel lines (option b).