Determine whether the pair of lines is parallel, perpendicular, or neither.
x-8y=-3
y=9x-9
A.
The two lines are neither parallel nor perpendicular.
B.
The two lines are perpendicular.
C.
More information is needed.
D.
The two lines are parallel.
To determine whether the lines are parallel, perpendicular, or neither, we need to compare their slopes.
First, let's rewrite the equations of the lines in slope-intercept form (y = mx + b).
The first equation is x - 8y = -3. To convert it to slope-intercept form, subtract x from both sides and divide by -8:
-8y = -x - 3
y = (1/8)x + 3/8
The second equation is y = 9x - 9. It is already in slope-intercept form.
From the slope-intercept form, we can see that the slope of the first line is 1/8 and the slope of the second line is 9.
Two lines are parallel if and only if their slopes are equal. The slopes of these two lines are not equal (1/8 is not equal to 9), so the lines are not parallel.
Two lines are perpendicular if and only if the product of their slopes is -1. The product of 1/8 and 9 is not -1, so the lines are not perpendicular.
Therefore, the correct answer is A. The two lines are neither parallel nor perpendicular.