tell whether the lines for each pair of equations are parallel-A, perpendicular-B, or nether -C
A. y+ 6x + 2 and 18x -3y = 15
To determine if the lines are parallel, perpendicular, or neither, we need to compare the slopes of the two equations.
The first equation is y + 6x + 2 = 0. We can rewrite it in slope-intercept form (y = mx + b) by subtracting 6x and 2 from both sides:
y = -6x - 2.
The second equation is 18x - 3y = 15. We can rewrite it in slope-intercept form by subtracting 18x and 15 from both sides:
-3y = -18x - 15.
Divide both sides by -3:
y = 6x + 5.
Comparing the two equations, we can see that their slopes are both 6. Since the slopes are the same, the lines are parallel.
Therefore, the answer is A.