Determine whether the pair of lines is parallel, perpendicular, or neither.
x-4y=-7
y=8x-8
To determine whether the pair of lines is parallel, perpendicular, or neither, we need to compare their slopes.
Let's write the equations in slope-intercept form, y = mx + b, where m is the slope:
x - 4y = -7
Rewrite it as: -4y = -x - 7
Divide by -4: y = (1/4)x + 7/4
y = 8x - 8
Comparing the slopes, we see that the slope of the first line is 1/4 and the slope of the second line is 8.
Since the slopes are neither equal nor negative reciprocals of each other, the pair of lines is neither parallel nor perpendicular.