Question

question 5 of 10 what is the equation of the following line? be sure to scroll down first to see all answer options. (8, 2) (0, 0) a. y = 1/8 x b. y = 4x c. y = - 1/4 x d. y = - 1/8 x e. y = 2x f. y = 1/4 x

Explanation:

Step1: Recall 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, the two points are $(0,0)$ and $(8,2)$.

Step2: Calculate the slope

Substitute $x_1 = 0,y_1 = 0,x_2=8,y_2 = 2$ into the slope - formula: $m=\frac{2 - 0}{8 - 0}=\frac{2}{8}=\frac{1}{4}$.

Step3: Write the equation of the line

The equation of a line in slope - intercept form is $y=mx + b$. Since the line passes through the origin $(0,0)$, the $y$ - intercept $b = 0$. So the equation of the line is $y=\frac{1}{4}x$.

Answer:

F. $y=\frac{1}{4}x$