Simplify your answer and write it as a proper fraction, improper fraction, or integer.
3 answers
To find the slope \( m \) of the line that passes through the points \((x_1, y_1) = (6, 8)\) and \((x_2, y_2) = (10, 9)\), we use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Plugging in the coordinates of the points:
\[ m = \frac{9 - 8}{10 - 6} \]
Calculating the differences in the numerator and denominator:
\[ m = \frac{1}{4} \]
Thus, the slope of the line is
\[ \boxed{\frac{1}{4}} \]
To find the slope \( m \) of the line that passes through the points \((x_1, y_1) = (7, 7)\) and \((x_2, y_2) = (10, 6)\), we use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Substituting in the coordinates of the points:
\[ m = \frac{6 - 7}{10 - 7} \]
Calculating the differences in the numerator and denominator:
\[ m = \frac{-1}{3} \]
Thus, the slope of the line is
\[ \boxed{-\frac{1}{3}} \]
