Tell wether the lines for each pair of equation are parallel, perpendicular or neither

Question

y=-1/6x-5
24x-4y=12

Answer 1

To determine whether the lines are parallel, perpendicular, or neither, we need to compare the slopes of the lines.

For the first equation, y = -1/6x - 5, we can identify the slope by comparing this equation to the standard slope-intercept form, y = mx + b. Here, the slope (m) is -1/6.

For the second equation, 24x - 4y = 12, we need to rewrite it in slope-intercept form. Let's isolate y:

-4y = -24x + 12
y = 6x - 3

Comparing this equation to the standard form, we can see that the slope (m) is 6.

Since the slopes of the two equations are not the same and they are also not negative reciprocals of each other, the lines are neither parallel nor perpendicular.