Nettet1. okt. 2015 · Claim: If two lines are perpendicular, then their slopes are negative reciprocals of one another. Proof: Assume WLOG that two nonvertical lines with slopes m 1 and m 2 intersect at the origin and form a right angle. Construct the line x = 1. Then we have a triangle with coordinates ( 0, 0), ( 1, m 1), and ( 1, m 2). Nettet23. mar. 2024 · Explanation: Perpendicular slopes are opposite reciprocals of each other. Opposites: positive vs negative The perpendicular slope of a positive slope must be negative, and vice versa. Reciprocals: multiplicative inverses (the numbers will multiply to 1) Examples of reciprocals: 2, 1 2 → 2 ⋅ 1 2 = 1 1 3,3 → 1 3 ⋅ 3 = 1
Explain why perpendicular lines have negative reciprocal …
Nettet7. jan. 2024 · When the y -coordinates are the same, the rise is 0. The slope of any vertical line is undefined. When the x -coordinates of a line are all the same, the run is 0. SLOPE OF A HORIZONTAL AND VERTICAL LINE The slope of a horizontal line, y = b, is 0. The slope of a vertical line, x = a, is undefined. Example 3.2.4 NettetIf a line goes forward (to the right) in the upper right quadrant it has a positive slope, and if it goes to the lower right side it has a negative slope. This is reciprocated in the other direction (positive slope = bottom left … sewing paracord
Parallel & perpendicular lines from graph - Khan Academy
Nettet23. mai 2024 · No, because the slopes of the lines are not opposite reciprocals. Step-by-step explanation: To find out if these lines are perpendicular, find the slopes: Slope of Green Line: → → . Slope of Yellow Line: → → . For the lines to be perpendicular, the slopes must be opposite reciprocals, which in this case, they are not. Nettet5. sep. 2024 · When lines are perpendicular (that is, they cross at a 90 o angle), their slopes are opposite reciprocals of each other. The product of their slopes will be -1, except in the case where one of the lines is vertical, causing its slope to be undefined. Nettetopposite reciprocals (example) example: 2/3 is -3/2. parallel lines are... (definition) lines that have the same slope: lines that never intersect. perpendicular lines are... the tubes she s a beauty