the slope of a perpendicular line is equal?
483853
Perpendicular Lines and Their 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. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2.
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.
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.
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.
178402
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.
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.
644831
Horizontal and vertical lines are always perpendicular: therefore, two lines, one of which has a zero slope and the other an undefined slope are perpendicular.
555097
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.
731923
The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite: in this case to 3. Then find the reciprocal by switching the denominator and numerator to get 1/3; therefore the slope of the perpendicular line is 1/3.
693731
The y-axis is a vertical line. A vertical line has a slope of 10 which is undef or undefined. The negative reciprocal would be 01 or 0 . So, the slope of the perpendicular would be 0 .
825712
The product of the slopes of two line segments that are perpendicular is equal to –1. In other words, if we multiply the slope of the line by the slope of AB, we will get –1. We can use the slope formula to find the slope of AB. slope of AB = (10 – (–2))/(–3 – 5) = 12/–8 = –3/2.
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.
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 .
213325
Perpendicular Lines and Slopes. 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 .
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.
248059
Perpendicular lines are lines that intersect at right angles. ... That is, the slopes of perpendicular lines are opposite reciprocals . (Exception: Horizontal and vertical lines are perpendicular, though you can't multiply their slopes, since the slope of a vertical line is undefined.)
38227
Explanation: 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.