Find the slope of the line that passes through $$ (3,2) $$ and $$ (9,7) $$. Simplify your answer and write it as a proper fraction, improper fraction, or integer.

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UpStudy AI · Accepted Answer

1. Write the slope formula for two points $$(x_1, y_1)$$ and $$(x_2, y_2)$$:
   $$
   m = \frac{y_2 - y_1}{x_2 - x_1}
   $$

2. Substitute the given points $$(3,2)$$ and $$(9,7)$$ into the formula:
   $$
   m = \frac{7 - 2}{9 - 3}
   $$

3. Compute the differences in the numerator and the denominator:
   $$
   m = \frac{5}{6}
   $$

Thus, the slope of the line is $$\frac{5}{6}$$.
The slope of the line is $$\frac{5}{6}$$.

Find the slope of the line that passes through \( (3,2) \) and \( (9,7) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

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