is the slope of a line perpendicular to it?
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A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line.
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The slopes of the lines are the same and they have different y-intercepts, so they are not the same line and they are parallel. Two non-vertical lines are perpendicular if the slope of one is the negative reciprocal of the slope of the other.
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Perpendicular lines (Coordinate Geometry) When two lines are perpendicular, the slope of one is the negative reciprocal of the other. ... Note too that the lines to do not have to intersect to be perpendicular. In Fig 1, the two lines are perpendicular to each other even though they do not touch.
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Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.
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Perpendicular Lines and Their Slopes The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2.
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In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.
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When you look at one perpendicular line, and then you look at the second perpendicular line, it's almost as if the rise and run SWITCHED PLACES! That's why the slope of a perpendicular line is the negative reciprocal of the other perpendicular line!
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Two lines are perpendicular if and only if their slopes are negative reciprocals. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line.
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Perpendicular Lines and Slopes The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m.
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Perpendicular lines are a bit more complicated. If you visualize a line with positive slope (so it's an increasing line), then the perpendicular line must have negative slope (because it will have to be a decreasing line). So perpendicular lines have slopes which have opposite signs.
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The slope of y axis is not infinity. Its undefined. ... The x-axis is horizontal and the y-axis is vertical so they are perpendicular.
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Correct answer: Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.
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To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y:. The slope of the line –6x – 9y = 4 is m = –2/3. Therefore, the slope of every line perpendicular to this line would have to be m = 3/2 because (–2/3)(3/2) = –1.
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A vertical line, by definition has a slope which is undefined. Therefore the slope of any line perpendicular to y=10 is undefined.
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Also, the absolute values of their slopes are reciprocals. Theorem 105: If two nonvertical lines are perpendicular, then their slopes are opposite reciprocals of one another, or the product of their slopes is −1.
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The slopes of any two perpendicular lines are negative reciprocals of one another, meaning the numerators and denominators are swapped and the signs are opposite. For example, if a line has a slope of 4/3, a line perpendicular to it will have a slope of -3/4. This relationship is true for all perpendicular lines.
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Correct answer: Two lines are perpendicular if and only if their slopes are negative reciprocals. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line.