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This review covers essential concepts related to parallel and perpendicular lines, crucial for systems tests. Parallel lines possess the same slope but different y-intercepts, exemplified by equations such as y = (2/3)x + 4 and y = (2/3)x - 7. In contrast, perpendicular lines have slopes that are negative reciprocals of each other. For instance, y = (5/2)x - 8 and y = (-2/5)x + 7 exemplify this property. Additionally, it clarifies the break-even point, defining it as the point where income equals costs, indicating zero profit.
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Review for Systems Test What do I need to know??
Parallel/Perpendicular • Parallel lines have the SAME SLOPE and DIFFERENT Y-INTERCEPTS (b) • Ex. Y= 2/3x + 4 • y = 2/3 x – 7 • Slopes of Perpendicular lines have different signs and are reciprocals • Ex. Y = 5/2 x – 8 • y = -2/5 x + 7
Parallel/Perpendicular • Parallel – same slope, different b • Perpendicular lines – CAN HAVE same b, slopes are negative reciprocals of each other • Parallel lines – NO SOLUTION, DON’T CROSS • Perpendicular lines – ONE SOLUTION
Income/Cost/Break even • Break even MEANS when the income = cost • Profit MEANS income – cost • Profit at the break even point is ZERO
