what is the difference between the slopes of parallel and perpendicular lines?
431813
Parallel and Perpendicular Lines. Parallel lines have the same slope and will never intersect. ... On the other hand, the slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees.
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.
429243
Perpendicular lines are two coplanar lines that intersect at a right angle (90º). We know that a relationship exists between the slopes of parallel lines (the slopes are equal). Non-vertical perpendicular lines have negative reciprocal slopes! ... These vertical and horizontal lines are perpendicular to one another.
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.
819053
Correct answer: 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. Thus, the equation of the line is y = ½x + 6.
397995
Two lines are parallel if and only if they have the same slope; this is not the case. They are perpendicular if and only if the product of their slopes is ; this is not the case, since . The lines are neither parallel nor perpendicular.
933794
Two lines are parallel if and only if their slopes are equal. ... In general, a line in the form y = mx + b has a slope equal to m. Thus, the slope of this line equals 4. Because the slope of this line is not the same as the slope of q, these lines will intersect somewhere.
1059873
If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular. Horizontal and vertical lines are perpendicular to each other i.e. the axes of the coordinate plane. The slopes of two perpendicular lines are negative reciprocals.
1475703
In the coordinate plane, all vertical lines are parallel to the y-axis and all horizontal lines are parallel to the x-axis. ... These lines are perpendicular since their slopes are negative reciprocals. The negative reciprocal of 2 is . If you multiply a slope times its negative reciprocal, the result is always -1.
79485
Perpendicular lines have slopes that are negative reciprocals of one another. The given line's slope is 5, which means that the slope of the other line must be its negative reciprocal.
1271309
Parallel & perpendicular lines from graph. The slopes of parallel lines are equal, and the slopes of perpendicular lines are opposite reciprocals.
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.
61653
Calculating the Distance Between Parallel Lines First you need to find the slope of the two lines. Because they are parallel, they are the same slope, so if you find the slope of one, you have the slope of both. Start at the @$\begin{align*}y-\end{align*}@$intercept of the top line, 7.
592971
Correct answer: 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.
197617
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 .
417861
If two lines are perpendicular, the slopes are negative reciprocals. ... since their slopes of 0 have undefined reciprocals. Vertical and horizontal lines are perpendicular.
1243731
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.