Find the slope and reduce. $$ \begin{array}{c}P=(2,3) \quad Q=(9,7) \ \text { Slope }=\frac{[?]}{[]}\end{array} $$

Question

UpStudy AI · Accepted Answer

To find the slope between the points $$ P = (2, 3) $$ and $$ Q = (9, 7) $$, you can use the slope formula:

$$
\text{Slope} = \frac{y_2 - y_1}{x_2 - x_1}
$$

Where:
- $$ (x_1, y_1) = P = (2, 3) $$
- $$ (x_2, y_2) = Q = (9, 7) $$

Plugging in the values:

$$
\text{Slope} = \frac{7 - 3}{9 - 2} = \frac{4}{7}
$$

Since 4 and 7 have no common factors other than 1, the fraction is already in its simplest form.

$$
\boxed{\frac{4}{7}}
$$
The slope is $$ \frac{4}{7} $$.

Find the slope and reduce. \[ \begin{array}{c}P=(2,3) \quad Q=(9,7) \\ \text { Slope }=\frac{[?]}{[]}\end{array} \]