Question

3 Which equation represents the line shown on the coordinate plane below? 4 3 5 6 7 -8° -7 6 5 4 3 2 8 = 411 B D

Answer 1

From the graph it can be observed that line passes through point (0,0) and (4,-1).

The general equation of line passing through points (x_1,y_1) and (x_2,y_2) is,

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

Determine the equation of line passing through point (0,0) and (4,-1).

`\begin{gathered} y-0=(-1-0)/(4-0)(x-0) \\ y=-(1)/(4)x \end{gathered}`

So equation of line is y = -1/4 x.