Using the slope of each of the lines, the best statement that describes the their relationship is that they are: neither perpendicular nor parallel.
The slope of parallel lines are the same, while that of perpendicular lines are negative reciprocals.
Given the two lines with the following equations:
-9x+9y=1
7x+2y=4
Rewrite both in slope-intercept form as y = mx + b to determine the slope of each line:
-9x + 9y = 1
9y = 9x + 1
y = 9x/9 + 1/9
y = x + 1/9 (slope = 1)
7x + 2y = 4
2y = -7x + 4
y = -7x/2 + 4/2
y = -7/2x + 2 (slope = -7/2).
The slope of both lines are different, so they are not parallel. So also, their slopes are not negative reciprocals.
Therefore, they are neither perpendicular nor parallel.
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