what is the slope of a line that is perpendicular to line k?
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Line k is perpendicular to line m. What is the slope of line k? 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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Step 1: Find the slope of the line. To find the slope of the given 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 4x – 5y = –10 is m = 4/5. Therefore, the slope of the line perpendicular to this line would have to be m = –5/4.
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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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Find The Slope Of A Perpendicular Line : Example Question #3 Explanation: First rearrange the equation so that it is in slope-intercept form, resulting in y=2/3 x + 14/9. The slope of this line is 2/3, so the slope of the line perpendicular will have the opposite reciprocal as a slope, which is -3/2.
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Perpendicular lines have slopes that are negative reciprocals of one another. The given line's slope is 5, which means that the slope of the other line must be its negative reciprocal.
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The slope of a line perpendicular to the x-axis is undefined. Perpendicular lines have opposite reciprocal slopes. For example, 12 and −21=−2 are opposite reciprocals and lines with these slopes will be perpendicular to one another.
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Explanation: Perpendicular lines have slopes that are the opposite of the reciprocal of each other. In this case, the slope of the first line is -2. The reciprocal of -2 is -1/2, so the opposite of the reciprocal is therefore 1/2.
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If the line passes through the origin, then you know that (0,0) is on the line. If the line is perpendicular to y=2x+3 then we know the line has slope m=−0.5. This is the negative reciprocal of the slope.
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Find the slope of the given line. The perpendicular slope will be the opposite reciprocal of the original slope. Use the slope-intercept form (y = mx + b) and substitute in the given point and the new slope to find the intercept, b. Convert back to standard form of an equation: ax + by = c.
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Answer Expert Verified The slope of a perpendicular line to an equation is the negative reciprocal of the number. For example, the negative reciprocal of 2 is -1/2 (so you 'flip' the number).
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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.)
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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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Explanation: Find the slope of the given line. The perpendicular slope will be the opposite reciprocal of the original slope. Use the slope-intercept form (y = mx + b) and substitute in the given point and the new slope to find the intercept, b.
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First, you should put the equation in slope intercept form (y = mx + b), where m is the slope. The slope of the given line is –10/4. A perpendicular line will have a slope with the opposite reciprocal. In simpler terms, you flip the slope and change the sign, therefore, the opposite reciprocal is 4/10.
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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 y-axis is a vertical line. A vertical line has a slope of 10 which is undef or undefined. The negative reciprocal would be 01 or 0 . So, the slope of the perpendicular would be 0 .
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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 .