the slope of a line that is perpendicular?
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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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The equation of a line is in the form y=mx+b form, where m is the slope and b is the y-intercept. Perpendicular lines have negative reciprocal slopes. The slope of the given line is 3. Therefore, the slope of the line that is perpendicular to the given line is -1/3.
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Explanation: the slope of a line parallel to the x -axis has slope 0 . the slope of a line perpendicular to another will have a slope which is its negative reciprocal. the negative reciprocal of a number is −1 divided by the number (e.g. the negative reciprocal of 2 is −12 , which is −12 ).
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If two lines are perpendicular, the slopes are negative reciprocals. ... since their slopes of 0 have undefined reciprocals. Vertical and horizontal lines are perpendicular.
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If the slopes of two lines are negative reciprocals, the lines are perpendicular. since their slopes of 0 have undefined reciprocals.
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The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite: in this case to 3. Then find the reciprocal by switching the denominator and numerator to get 1/3; therefore the slope of the perpendicular line is 1/3.
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Perpendicular Lines and Slopes. Perpendicular lines are lines that intersect at right angles. If you multiply the slopes of two perpendicular lines in the plane, you get −1 . That is, the slopes of perpendicular lines are opposite reciprocals .
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To find the slope of a line perpendicular to a given line, we must take the negative reciprocal of the slope of the given line. Thus the slope of line k is the negative reciprocal of 2/5 (slope of line m), which is -5/2.
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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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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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The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 3 3 . The equation of a perpendicular line to y=3x+2 y = 3 x + 2 must have a slope that is the negative reciprocal of the original slope.
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Explanation: First we must find the slope of the given line. The slope of y = –3x – 4 is –3. The slope of the perpendicular line is the negative reciprocal.
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Two non-vertical lines are perpendicular if the slope of one is the negative reciprocal of the slope of the other. If the slope of the first equation is 4, then the slope of the second equation will need to be for the lines to be perpendicular.
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Note the slopes when the lines are at right angles to each other. So for example in the figure above, the line AB has a slope of 0.5, meaning it goes up by a half for every one across. The line CD if it is perpendicular to AB has a slope of -1/0.5 or -2.
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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. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2.
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If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. ... 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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Perpendicular lines are lines that intersect at right angles. ... That is, the slopes of perpendicular lines are opposite reciprocals . (Exception: Horizontal and vertical lines are perpendicular, though you can't multiply their slopes, since the slope of a vertical line is undefined.)