Determine whether the pair of lines is parallel, perpendicular, or neither.
x-5y=-9
y=4x-6
To determine whether the pair of lines is parallel, perpendicular, or neither, we can compare their slopes. The given equation x - 5y = -9 can be rewritten in slope-intercept form (y = mx + b) by solving for y:
x - 5y = -9
-5y = -x - 9
y = (1/5)x + (9/5)
Comparing this equation to the equation y = 4x - 6, we can see that the slope of the first line is 1/5 and the slope of the second line is 4.
Since the slopes are not the same and are not negative reciprocals of each other, the pair of lines is neither parallel nor perpendicular.