Question

What is the equation of the following line? Be sure to scroll down first to seeall answer options.(0, 0)-10KO A.y=4xB. y = -4xC. y = 8xD. y=-¹1-xE. y=x-10(2,-8)10

Answer 1

Solution:

From the graph;

The line passes through the points

$\begin{gathered} (x_1,y_1)=(0,0) \\ (x_1,y_1)=(2,-8) \end{gathered}$

To find the equation of a straight line, the formula is

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$

Substituting the values of the coordinates into the formula above

$\begin{gathered} \frac{y-0}{x-0}=\frac{-8-0}{2-0} \\ \frac{y}{x}=-4 \\ Crossmultiply \\ y=-4x \end{gathered}$

Hence, the equation of the line is

$y=-4x$

Option B