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

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

`(y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1)`

Substituting the values of the coordinates into the formula above

`\begin{gathered} (y-0)/(x-0)=(-8-0)/(2-0) \\ (y)/(x)=-4 \\ Crossmultiply \\ y=-4x \end{gathered}`

Hence, the equation of the line is

`y=-4x`

Option B