how to find the slope of a line perpendicular to another line?
67392
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. Step 2: Use the slope to find the y-intercept.
1317598
['x+y=7.', '⇒y=−x+7. ⇒y=(−1)x+7.', 'Here y=(−1)x+7.', '⇒slope=−1 and y-intercept =7.', 'Hence slope of the line is −1.']
21662
['Identify the slope, m. 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.']
587406
Example: the slope of the first equation is -2/3 . For the second equation to be perpendicular to the first, the slope of the second equation would need to be 3/2. (c) If the slopes are not the same, and one is not the negative reciprocal of the other, then the lines intersect and are neither parallel or perpendicular.
1004351
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 4 4 . The equation of a perpendicular line to y=4x−5 y = 4 x - 5 must have a slope that is the negative reciprocal of the original slope.
565241
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.
675625
Correct answer: 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.
109372
['Slope = change in y over the change in x.', 'Slope = (y2 - y1)/(x2 - x1)', 'Slope = rise over run.', 'You can pick any two points on a line to calculate the slope.', 'You can double check your answer by trying different points on the line.', 'If the line is going up, from left to right, the slope is positive.']
470683
['Get the two equations for the lines into slope-intercept form. ... ', 'Set the two equations for y equal to each other.', 'Solve for x. ... ', 'Use this x-coordinate and plug it into either of the original equations for the lines and solve for y.']
1289765
['(x1, y1) = (-2,-1)', '(x2, y2) = (4,3)', 'slope = ((y2-y1)/(x2-x1))']
103494
To find the slope of this 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 –6x – 9y = 4 is m = –2/3. Therefore, the slope of every line perpendicular to this line would have to be m = 3/2 because (–2/3)(3/2) = –1.
1110801
Correct answer: 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.
1227120
A line perpendicular to Line M will have a negative reciprocal slope. Thus, the answer is y = (1/7)x + 3.
82192
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.
144173
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.
1452659
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.
505013
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.