Find the slope of the line that passes through (8, 3) and (3, 4).Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Question
Find the slope of the line that passes through (8, 3) and (3, 4).Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Solution 1
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Here, (x1, y1) is (8, 3) and (x2, y2) is (3, 4).
So, substituting these values into the formula, we get:
m = (4 - 3) / (3 - 8) = 1 / -5 = -1/5
So, the slope of the line that passes through the points (8, 3) and (3, 4) is -1/5.
Solution 2
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Here, (x1, y1) is (8, 3) and (x2, y2) is (3, 4).
So, substituting these values into the formula, we get:
m = (4 - 3) / (3 - 8) = 1 / -5 = -1/5
So, the slope of the line that passes through the points (8, 3) and (3, 4) is -1/5.
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