how to prove the slope of perpendicular lines?
445365
If the slopes of two lines are negative reciprocals, the lines are perpendicular. since their slopes of 0 have undefined reciprocals.
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.
599321
Put this together with the sign change, and you get that the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line — and two lines with slopes that are negative reciprocals of each other are perpendicular to each other.
1331820
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.
667500
The line x=-3 is a line parallel to the y-axis. So a line perpendicular to it will have a slope parallel to the x-axis or its slope is 0.
1198950
Correct answer: Explanation: The question puts the line in point-slope form y – y1 = m(x – x1), where m is the slope. Therefore, the slope of the original line is 1/2. A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line.
1142509
If the slopes of two lines are negative reciprocals, the lines are perpendicular. For ease of computation, translate the lines so the point of intersection will be the origin. Draw a vertical line x = 1 to form ΔABC.
346889
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. Also, the absolute values of their slopes are reciprocals.
1235130
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.
39412
Perpendicular lines form right angles. If two lines are perpendicular, the slopes are negative reciprocals. (The product of the slopes = -1.) since their slopes of 0 have undefined reciprocals.
660055
The slope of two perpendicular lines are negative reciprocals of each other. That means that you flip the fraction upside down and take the opposite of it.
358973
The slopes of any two perpendicular lines are negative reciprocals of one another, meaning the numerators and denominators are swapped and the signs are opposite. For example, if a line has a slope of 4/3, a line perpendicular to it will have a slope of -3/4. This relationship is true for all perpendicular lines.
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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).
1069791
Explanation: This appears to be a bit complicated as normally we say that if slope of a line is m , slope of line perpendicular to it is −1m , which means just take the reciprocal and change the sign. For example if slope of a line is 37 , line perpendicular to it will have a slope of −73 .
1336597
Start be converting the equation to slope intercept form: y = mx + b. To do this, subtract 5x from both sides and divide both sides by 7: y = -5/7x + 4/7. The slope of this line is -5/7, so the slope of a perpendicular line must be 7/5.
419033
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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To achieve the opposite reciprocal of a number, simply flip it, then multiply by −1 . That means the slope of any line perpendicular to line q will have a slope of 12 . Jim G.