Find the slope of the line that passes through (10, 8) and (8, 17).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
First, we need to find the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Given points (10, 8) and (8, 17), we have:
x1 = 10, y1 = 8
x2 = 8, y2 = 17
Plugging in the values:
m = (17 - 8) / (8 - 10)
m = 9 / -2
m = -9/2
Therefore, the slope of the line passing through the points (10, 8) and (8, 17) is -9/2.
Find the slope of the line that passes through (2, 2) and (8, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
To find the slope of the line passing through the points (2, 2) and (8, 3), we use the slope formula:
m = (y2 - y1) / (x2 - x1)
Given points (2, 2) and (8, 3), we have:
x1 = 2, y1 = 2
x2 = 8, y2 = 3
Plugging the values into the formula:
m = (3 - 2) / (8 - 2)
m = 1 / 6
Therefore, the slope of the line passing through the points (2, 2) and (8, 3) is 1/6.
Find the slope of the line that passes through (7, 6) and (1, 1).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
To find the slope of the line passing through the points (7, 6) and (1, 1), we will use the slope formula:
m = (y2 - y1) / (x2 - x1)
Given points (7, 6) and (1, 1), we have:
x1 = 7, y1 = 6
x2 = 1, y2 = 1
Plugging the values into the formula:
m = (1 - 6) / (1 - 7)
m = -5 / -6
m = 5/6
Therefore, the slope of the line passing through the points (7, 6) and (1, 1) is 5/6.
Find the slope of the line that passes through (9, 7) and (2, 8).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
To find the slope of the line passing through the points (9, 7) and (2, 8), we will use the slope formula:
m = (y2 - y1) / (x2 - x1)
Given points (9, 7) and (2, 8), we have:
x1 = 9, y1 = 7
x2 = 2, y2 = 8
Plugging the values into the formula:
m = (8 - 7) / (2 - 9)
m = 1 / -7
m = -1/7
Therefore, the slope of the line passing through the points (9, 7) and (2, 8) is -1/7.
Find the slope of the line that passes through (1, 7) and (6, 5).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
To find the slope of the line passing through the points (1, 7) and (6, 5), we will use the slope formula:
m = (y2 - y1) / (x2 - x1)
Given points (1, 7) and (6, 5), we have:
x1 = 1, y1 = 7
x2 = 6, y2 = 5
Plugging the values into the formula:
m = (5 - 7) / (6 - 1)
m = -2 / 5
Therefore, the slope of the line passing through the points (1, 7) and (6, 5) is -2/5.
Find the slope of the line that passes through (4, 2) and (7, 6).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.