line ab contains points a(4, 5) and b(9, 7). what is the slope of $overrightarrow{ab}$?\n$-\frac{5}{2}$\n$-\f…

line ab contains points a(4, 5) and b(9, 7). what is the slope of $overrightarrow{ab}$?\n$-\frac{5}{2}$\n$-\frac{2}{5}$\n$\frac{2}{5}$\n$\frac{5}{2}$

line ab contains points a(4, 5) and b(9, 7). what is the slope of $overrightarrow{ab}$?\n$-\frac{5}{2}$\n$-\frac{2}{5}$\n$\frac{2}{5}$\n$\frac{5}{2}$

Answer

Explanation:

Step1: Identificar los puntos

Sean $(x_1,y_1)=(4,5)$ y $(x_2,y_2)=(9,7)$.

Step2: Aplicar la fórmula de la pendiente

La fórmula de la pendiente $m$ entre dos puntos $(x_1,y_1)$ y $(x_2,y_2)$ es $m = \frac{y_2 - y_1}{x_2 - x_1}$. Sustituyendo los valores: $m=\frac{7 - 5}{9 - 4}$.

Step3: Simplificar la expresión

$\frac{7 - 5}{9 - 4}=\frac{2}{5}$.

Answer:

C. $\frac{2}{5}$