Question

question 2 of 10 what is the equation of the following line? be sure to scroll down first to see all answer options. (0, 0) (10, - 2) a. y = -x b. y = -\frac{1}{5}x c. y = x d. y = -5x e. y = 5x f. y = \frac{1}{5}x

Explanation:

Step1: Find the slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(10,- 2)$.

Step2: Calculate the slope

$m=\frac{-2 - 0}{10 - 0}=\frac{-2}{10}=-\frac{1}{5}$.

Step3: Use the slope - intercept form

The slope - intercept form of a line is $y = mx + b$. Since the line passes through the origin $(0,0)$, $b = 0$. So the equation of the line is $y=-\frac{1}{5}x$.

Answer:

B. $y =-\frac{1}{5}x$