The formula for finding the slope between two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Using the given points (-6, -1) and (-1, 5), the slope can be calculated as:
m = (5 - (-1)) / (-1 - (-6)) = (5 + 1) / (-1 + 6) = 6 / 5
Therefore, the slope of the line that passes through (-6, -1) and (-1, 5) is 6/5.
Find the slope of the line that passes through
−6, -1
and
−1, 5
. Write your answer in simplest form.
Select "Undefined" if applicable.
23 answers
Find the slope of the line that passes through -10,4 and -1,-6. Write your answer in simplest form.
Select "Undefined" if applicable.
Select "Undefined" if applicable.
The formula for finding the slope between two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Using the given points (-10, 4) and (-1, -6), the slope can be calculated as:
m = (-6 - 4) / (-1 - (-10)) = (-6 - 4) / (-1 + 10) = -10 / 9
Therefore, the slope of the line that passes through (-10, 4) and (-1, -6) is -10/9.
m = (y2 - y1) / (x2 - x1)
Using the given points (-10, 4) and (-1, -6), the slope can be calculated as:
m = (-6 - 4) / (-1 - (-10)) = (-6 - 4) / (-1 + 10) = -10 / 9
Therefore, the slope of the line that passes through (-10, 4) and (-1, -6) is -10/9.
Find the slope of the line that passes through 6,-5 and -10,-4. Write your answer in simplest form.
Select "Undefined" if applicable.
Select "Undefined" if applicable.
The formula for finding the slope between two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Using the given points (6, -5) and (-10, -4), the slope can be calculated as:
m = (-4 - (-5)) / (-10 - 6) = (-4 + 5) / (-10 - 6) = 1 / (-16)
Therefore, the slope of the line that passes through (6, -5) and (-10, -4) is -1/16.
m = (y2 - y1) / (x2 - x1)
Using the given points (6, -5) and (-10, -4), the slope can be calculated as:
m = (-4 - (-5)) / (-10 - 6) = (-4 + 5) / (-10 - 6) = 1 / (-16)
Therefore, the slope of the line that passes through (6, -5) and (-10, -4) is -1/16.
Find the slope of the line that passes through -1,-3 and -5,-3. Write your answer in simplest form.
Select "Undefined" if applicable.
Select "Undefined" if applicable.
The formula for finding the slope between two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Using the given points (-1, -3) and (-5, -3), the slope can be calculated as:
m = (-3 - (-3)) / (-5 - (-1)) = (-3 + 3) / (-5 + 1) = 0 / (-4) = 0
Therefore, the slope of the line that passes through (-1, -3) and (-5, -3) is 0.
m = (y2 - y1) / (x2 - x1)
Using the given points (-1, -3) and (-5, -3), the slope can be calculated as:
m = (-3 - (-3)) / (-5 - (-1)) = (-3 + 3) / (-5 + 1) = 0 / (-4) = 0
Therefore, the slope of the line that passes through (-1, -3) and (-5, -3) is 0.
Question 14
Find the slope of the line that passes through -1,-3 and 4, -3. Write your answer in simplest form.
Select "Undefined" if applicable.
Find the slope of the line that passes through -1,-3 and 4, -3. Write your answer in simplest form.
Select "Undefined" if applicable.
The formula for finding the slope between two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Using the given points (-1, -3) and (4, -3), the slope can be calculated as:
m = (-3 - (-3)) / (4 - (-1)) = (-3 + 3) / (4 + 1) = 0/5 = 0
Therefore, the slope of the line that passes through (-1, -3) and (4, -3) is 0.
m = (y2 - y1) / (x2 - x1)
Using the given points (-1, -3) and (4, -3), the slope can be calculated as:
m = (-3 - (-3)) / (4 - (-1)) = (-3 + 3) / (4 + 1) = 0/5 = 0
Therefore, the slope of the line that passes through (-1, -3) and (4, -3) is 0.
The slope of a line is m=2.
(a) Determine the slope of a line parallel to the line with the given slope.
(b) Determine the slope of a line perpendicular to the line with the given slope.
Select "Undefined" if applicable.
(a) Determine the slope of a line parallel to the line with the given slope.
(b) Determine the slope of a line perpendicular to the line with the given slope.
Select "Undefined" if applicable.
(a) If the slope of a line is 2, then any line parallel to it will have the same slope of 2. So the slope of a line parallel to a line with a slope of 2 is also 2.
(b) The slope of a line perpendicular to a line with a slope of 2 can be found using the relationship that perpendicular slopes are negative reciprocals. The negative reciprocal of 2 is -1/2. So the slope of a line perpendicular to a line with a slope of 2 is -1/2.
(b) The slope of a line perpendicular to a line with a slope of 2 can be found using the relationship that perpendicular slopes are negative reciprocals. The negative reciprocal of 2 is -1/2. So the slope of a line perpendicular to a line with a slope of 2 is -1/2.
The slope of a line is 5/6.
(a) Determine the slope of a line parallel to the line with the given slope.
(b) Determine the slope of a line perpendicular to the line with the given slope.
Select "Undefined" if applicable.
(a) Determine the slope of a line parallel to the line with the given slope.
(b) Determine the slope of a line perpendicular to the line with the given slope.
Select "Undefined" if applicable.
(a) If the slope of a line is 5/6, then any line parallel to it will have the same slope of 5/6. So the slope of a line parallel to a line with a slope of 5/6 is also 5/6.
(b) The slope of a line perpendicular to a line with a slope of 5/6 can be found using the relationship that perpendicular slopes are negative reciprocals. The negative reciprocal of 5/6 is -6/5. So the slope of a line perpendicular to a line with a slope of 5/6 is -6/5.
(b) The slope of a line perpendicular to a line with a slope of 5/6 can be found using the relationship that perpendicular slopes are negative reciprocals. The negative reciprocal of 5/6 is -6/5. So the slope of a line perpendicular to a line with a slope of 5/6 is -6/5.
Let m1 and n2 represent the slopes of two lines. Determine if the lines are parallel, perpendicular, or neither.
m1=1/2 , m2=2
m1=1/2 , m2=2
To determine if two lines are parallel, perpendicular, or neither, we need to compare their slope values.
Given:
m1 = 1/2
m2 = 2
If two lines are parallel, their slopes are equal. If two lines are perpendicular, their slopes are negative reciprocals of each other.
Comparing the slope values:
1/2 is not equal to 2, so the lines are not parallel.
To determine if they are perpendicular, we can check if the slopes are negative reciprocals:
The negative reciprocal of 1/2 is -2/1, which simplifies to -2.
Since the negative reciprocal of 1/2 (-2) is equal to the slope of the second line (m2 = 2), the two lines are perpendicular.
Therefore, the lines represented by m1 = 1/2 and m2 = 2 are perpendicular.
Given:
m1 = 1/2
m2 = 2
If two lines are parallel, their slopes are equal. If two lines are perpendicular, their slopes are negative reciprocals of each other.
Comparing the slope values:
1/2 is not equal to 2, so the lines are not parallel.
To determine if they are perpendicular, we can check if the slopes are negative reciprocals:
The negative reciprocal of 1/2 is -2/1, which simplifies to -2.
Since the negative reciprocal of 1/2 (-2) is equal to the slope of the second line (m2 = 2), the two lines are perpendicular.
Therefore, the lines represented by m1 = 1/2 and m2 = 2 are perpendicular.
So are the lines parallel, perpendicular or neither? It can only be one.
Apologies for the confusion. Given that m1 = 1/2 and m2 = 2, the lines are neither parallel nor perpendicular.
Find the slopes of the lines l1 and l2 defined by the two given points. Then determine whether l1 and l2 are parallel, perpendicular, or neither.
l1: (-1,-6) and (3,2)
l2: (3,-12) and (8,-2)
l1: (-1,-6) and (3,2)
l2: (3,-12) and (8,-2)
To find the slope of a line passing through two points (x1, y1) and (x2, y2), we can use the formula:
m = (y2 - y1) / (x2 - x1)
For l1: (-1, -6) and (3, 2), the slope (m1) can be calculated as:
m1 = (2 - (-6)) / (3 - (-1)) = 8 / 4 = 2
For l2: (3, -12) and (8, -2), the slope (m2) can be calculated as:
m2 = (-2 - (-12)) / (8 - 3) = 10 / 5 = 2
Comparing their slope values:
m1 = 2
m2 = 2
Since the slopes of the two lines are equal, l1 and l2 are parallel lines.
Therefore, l1 and l2 are parallel.
m = (y2 - y1) / (x2 - x1)
For l1: (-1, -6) and (3, 2), the slope (m1) can be calculated as:
m1 = (2 - (-6)) / (3 - (-1)) = 8 / 4 = 2
For l2: (3, -12) and (8, -2), the slope (m2) can be calculated as:
m2 = (-2 - (-12)) / (8 - 3) = 10 / 5 = 2
Comparing their slope values:
m1 = 2
m2 = 2
Since the slopes of the two lines are equal, l1 and l2 are parallel lines.
Therefore, l1 and l2 are parallel.
Find the slopes of the lines l1 and l2 defined by the two given points. Then determine whether l1 and l2 are parallel, perpendicular, or neither.
l1: (10,5) and (9,2)
l2: (-5,4) and (-2,3)
l1: (10,5) and (9,2)
l2: (-5,4) and (-2,3)
To find the slope of a line passing through two points (x1, y1) and (x2, y2), we can use the formula:
m = (y2 - y1) / (x2 - x1)
For l1: (10, 5) and (9, 2), the slope (m1) can be calculated as:
m1 = (2 - 5) / (9 - 10) = -3 / -1 = 3
For l2: (-5, 4) and (-2, 3), the slope (m2) can be calculated as:
m2 = (3 - 4) / (-2 - (-5)) = -1 / 3
Comparing their slope values:
m1 = 3
m2 = -1/3
Since the slopes of the two lines are negative reciprocals of each other (3 and -1/3), l1 and l2 are perpendicular lines.
Therefore, l1 and l2 are perpendicular.
m = (y2 - y1) / (x2 - x1)
For l1: (10, 5) and (9, 2), the slope (m1) can be calculated as:
m1 = (2 - 5) / (9 - 10) = -3 / -1 = 3
For l2: (-5, 4) and (-2, 3), the slope (m2) can be calculated as:
m2 = (3 - 4) / (-2 - (-5)) = -1 / 3
Comparing their slope values:
m1 = 3
m2 = -1/3
Since the slopes of the two lines are negative reciprocals of each other (3 and -1/3), l1 and l2 are perpendicular lines.
Therefore, l1 and l2 are perpendicular.
Find the slopes of the lines l1 and l2 defined by the two given points. Then determine whether l1 and l2 are parallel, perpendicular, or neither.
l1: (4,4) and (3,1)
l2: (8,3) and (5,2)
l1: (4,4) and (3,1)
l2: (8,3) and (5,2)
To find the slope of a line passing through two points (x1, y1) and (x2, y2), we can use the formula:
m = (y2 - y1) / (x2 - x1)
For l1: (4, 4) and (3, 1), the slope (m1) can be calculated as:
m1 = (1 - 4) / (3 - 4) = -3 / -1 = 3
For l2: (8, 3) and (5, 2), the slope (m2) can be calculated as:
m2 = (2 - 3) / (5 - 8) = -1 / -3 = 1/3
Comparing their slope values:
m1 = 3
m2 = 1/3
Since the slopes of the two lines are not equal and not negative reciprocals of each other, l1 and l2 are neither parallel nor perpendicular lines.
Therefore, l1 and l2 are neither parallel nor perpendicular.
m = (y2 - y1) / (x2 - x1)
For l1: (4, 4) and (3, 1), the slope (m1) can be calculated as:
m1 = (1 - 4) / (3 - 4) = -3 / -1 = 3
For l2: (8, 3) and (5, 2), the slope (m2) can be calculated as:
m2 = (2 - 3) / (5 - 8) = -1 / -3 = 1/3
Comparing their slope values:
m1 = 3
m2 = 1/3
Since the slopes of the two lines are not equal and not negative reciprocals of each other, l1 and l2 are neither parallel nor perpendicular lines.
Therefore, l1 and l2 are neither parallel nor perpendicular.