to graph the equation 2x + 5y = 10, zeplyn draws a line through the points (5, 0) and (0, 2). what is the…

to graph the equation 2x + 5y = 10, zeplyn draws a line through the points (5, 0) and (0, 2). what is the slope of the line represented by 2x + 5y = 10?\n- $\frac{5}{2}$\n- $\frac{2}{5}$\n $\frac{2}{5}$\n $\frac{5}{2}$

to graph the equation 2x + 5y = 10, zeplyn draws a line through the points (5, 0) and (0, 2). what is the slope of the line represented by 2x + 5y = 10?\n- $\frac{5}{2}$\n- $\frac{2}{5}$\n $\frac{2}{5}$\n $\frac{5}{2}$

Answer

Answer:

B. $-\frac{2}{5}$

Explanation:

Step1: Identificar los puntos

Sean $(x_1,y_1)=(5,0)$ y $(x_2,y_2)=(0,2)$.

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: $m=\frac{2 - 0}{0 - 5}=\frac{2}{-5}=-\frac{2}{5}$.