how to find the equation of a perpendicular line using a point?
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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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A line perpendicular to Line M will have a negative reciprocal slope. Thus, the answer is y = (1/7)x + 3.
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t...” The points of the intecepts are (2,0) and (0,5). to find the equation of the line, you need to put it into slope-intercept form which is y=mx+b, where m is the slope and b is the y intercept. to find the slope you do 5-0 where you subtract the second y (5) from the first y (0).
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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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['Take the derivative of the given function.', 'Evaluate the derivative at the given point to find the slope of the tangent line.', 'Plug the slope of the tangent line and the given point into the point-slope formula for the equation of a line, ( y − y 1 ) = m ( x − x 1 ) (y-y_1)=m(x-x_1) (y−y1\u200b)=m(x−x1\u200b), then simplify.']
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Explanation: 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.
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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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Answer Expert Verified The equation of a line in point-slope form. is the equation of the line containing point (x1, y1) and having slope, m. The given point of the perpendicular bisector is (-1, -2), so in this case, x1 = -1, and y1 = -2.
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This can be done by calculating the slope between two known points of the line using the slope formula. Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
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Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
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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 2 2 . The equation of a perpendicular line to y=2x+4 y = 2 x + 4 must have a slope that is the negative reciprocal of the original slope.
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The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.
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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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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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['Calculate the slope of the original line. ... ', 'Take the reciprocal of the original slope. ... ', 'Calculate b, the y intercept of the new line using the new slope and the point given along that line.', 'Put all of the information together in point slope form.']
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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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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.