Question

Line AB contains points A(4, 5) and B(9, 7). What is the slope of ?

– negative StartFraction 5 Over 2 EndFraction
– negative StartFraction 2 Over 5 EndFraction
StartFraction 2 Over 5 EndFraction
StartFraction 5 Over 2 EndFraction

Answer 1

To determine the slope of the line passing through the points \( A(4, 5) \) and \( B(9, 7) \), we can use the slope formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here, \((x_1, y_1)\) is the point \( A(4, 5) \) and \((x_2, y_2)\) is the point \( B(9, 7) \). Plugging in the coordinates, we get:

\[
m = \frac{7 - 5}{9 - 4} = \frac{2}{5}
\]

So the slope of the line \( AB \) is \(\frac{2}{5}\).

Hence, the correct answer is:

\[
\text{StartFraction 2 Over 5 EndFraction}
\]