Question

to graph the equation $2x + 5y = 10$, znplyn draws a line through the points $(5, 0)$ and $(0, 2)$. what is the slope of the line represented by $2x + 5y = 10$?$circ -\frac{1}{5}$$circ -\frac{1}{2}$$circ \frac{1}{2}$$circ \frac{2}{5}$

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.

Step2: Substitute given points

Let $(x_1,y_1)=(5,0)$ and $(x_2,y_2)=(0,2)$.
$m=\frac{2-0}{0-5}=\frac{2}{-5}=-\frac{2}{5}$

Answer:

$-\frac{2}{5}$ (corresponding to the first option)