Find the slope of the line that passes through (9, 5) and (4, 11).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Find the slope of the line that passes through (9, 5) and (4, 11). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
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To find the slope of the line that passes through the points (9, 5) and (4, 11), we can use the slope formula:
[ m = frac{y_2 – y_1}{x_2 – x_1} ]
where ((x_1, y_1) = (9, 5)) and ((x_2, y_2) = (4, 11)).
Let’s substitute the values into the formula:
1. Identify the points:
– ( x_1 = 9 ), ( y_1 = 5 )
– ( x_2 = 4 ), ( y_2 = 11 )
2. Apply the slope formula:
[
m = frac{11 – 5}{4 – 9} = frac{6}{-5} = -frac{6}{5}
]
So, the slope of the line is (-frac{6}{5}).
Feel free to ask if you need further explanation or have additional questions!