Asked by dee
.2 Find the slope from two points
VZG
Find the slope of the line that passes through (6, 10) and (9, 6).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
VZG
Find the slope of the line that passes through (6, 10) and (9, 6).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the slope \( m \) of the line that passes through the two points \( (x_1, y_1) = (6, 10) \) and \( (x_2, y_2) = (9, 6) \), we can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Substituting in the values from the points:
\[
m = \frac{6 - 10}{9 - 6}
\]
Calculating the differences in the numerator and denominator:
\[
m = \frac{-4}{3}
\]
Thus, the slope of the line that passes through the points (6, 10) and (9, 6) is
\[
\boxed{-\frac{4}{3}}.
\]
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Substituting in the values from the points:
\[
m = \frac{6 - 10}{9 - 6}
\]
Calculating the differences in the numerator and denominator:
\[
m = \frac{-4}{3}
\]
Thus, the slope of the line that passes through the points (6, 10) and (9, 6) is
\[
\boxed{-\frac{4}{3}}.
\]
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