Find the slope of the line that passes through and .
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Question

Find the slope of the line that passes through $$ (3,12) $$ and $$ (9,5) $$. Simplify your answer and write it as a proper fraction, improper fraction, or integer.

UpStudy AI · Accepted Answer

1. The formula for the slope ($$m$$) of a line through two points $$(x_1, y_1)$$ and $$(x_2, y_2)$$ is:
   $$
   m = \frac{y_2 - y_1}{x_2 - x_1}
   $$

2. Given the points $$(3, 12)$$ and $$(9, 5)$$, assign:
   $$
   x_1 = 3,\quad y_1 = 12,\quad x_2 = 9,\quad y_2 = 5
   $$

3. Substitute the values into the slope formula:
   $$
   m = \frac{5 - 12}{9 - 3}
   $$

4. Simplify the numerator and the denominator:
   $$
   m = \frac{-7}{6}
   $$

5. The slope of the line is:
   $$
   -\frac{7}{6}
   $$
The slope of the line is $$-\frac{7}{6}$$.

Find the slope of the line that passes through and .
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

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Find the slope of the line that passes through and . Simplify your answer and write it as a proper fraction, improper fraction, or integer.

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Find the slope of the line that passes through and .
Simplify your answer and write it as a proper fraction, improper fraction, or integer.