what is the slope of a line that is perpendicular to the line represented by the equation?
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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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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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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. ... This is why any line that is perpendicular to this line would have slope -2 /1 = -2.
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Perpendicular lines have slopes that are opposite reciprocals of each other. Therefore, the slope of the line is -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.
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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. The correct answer is and .
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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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Correct answer: 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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X-axis is the line with zero slope. Line perpendicular to x-axis has undefined slope and its equation is x = k, where k is the x-coordinate of the point it pass through.
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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 8x + 6y = 15 is m = –4/3. Therefore, the slope of the line perpendicular to this line would have to be m = 3/4. Step 2: Use the slope to find the y-intercept.
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Correct answer: 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 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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Determine the slope of the perpendicular bisector knowing that the slopes of perpendicular lines are opposites and reciprocals of each other. Write an equation into point-slope form, y - k = m(x - h), since the slope of the perpendicular bisector and a point (h, k) the bisector goes through is known.
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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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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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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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Correct answer: The given equation is in standard form, so it must be converted to slope-intercept form: y = mx + b to discover the slope is –2/3. To be perpendicular the new slope must be 3/2 (opposite reciprocal of the old slope).