what is the slope of a line perpendicular to line 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.
170291
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 8x + 6y = 15 is m = –4/3. Therefore, the slope of the line perpendicular to this line would have to be m = 3/4.
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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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First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. 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.
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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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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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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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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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Perpendicular lines have opposite reciprocal slopes. Both these lines have reciprocal slopes to the slope of 7 in the original equation, but only the first line is the opposite reciprocal.
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Figure 20. Perpendicular lines do not have the same slope. The slopes of perpendicular lines are different from one another in a specific way. The slope of one line is the negative reciprocal of the slope of the other line. The product of a number and its reciprocal is 1.
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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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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. ... Horizontal and vertical lines are always perpendicular: therefore, two lines, one of which has a zero slope and the other an undefined slope are perpendicular.
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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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Correct answer: y = x + 4. Explanation: The equation of line p is given in the form y = mx + b, where m is the slope and b is the y-intercept. Because the equation is y = –x + 4, the slope is m = –1. If two lines perpendicular, then the product of their slopes is equal to –1.
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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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Correct answer: 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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m is the slope of the line (change in y/change in x) and b is the y intercept of the line (where the line crosses the y axis).