how to find perpendicular slope with points?
114674
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.
16726
['Step One: Identify two points on the line.', 'Step Two: Select one to be (x1, y1) and the other to be (x2, y2).', 'Step Three: Use the slope equation to calculate slope.']
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.
357547
To find the slope of a line you must have two points and then you must plug in the two points into the slope formula. The slope formula is m= y2-y1 over x2-x1.
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.
613755
['Given the point we can use the point-slope formula to write the equation for this problem. The point-slope formula states: (y−y1)=m(x−x1)', '(y−34)=m(x−−3)', '(y−34)=m(x+3)']
209696
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
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.']
593456
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.
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.
198861
['Calculate the slope from 2 points.', 'Substitute either point into the equation. You can use either (3,7) or (5,11)', 'Solve for b, which is the y-intercept of the line.', 'Substitute b, -1, into the equation from step 2.']
276218
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 4x – 5y = 12 is m = 4/5. Therefore, the slope of every line parallel to this line would have to be m = 4/5. Two lines are perpendicular if .
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.']
186892
We can now use point-slope form to determine the equation of our line. Therefore, the equation of the line that is perpendicular to y=x−1 and that passes through the point (5,4) is y=−x+9 .
5739
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.
1298134
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.
157121
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.