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,

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

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

$\begin{gathered} y-0=\frac{-1-0}{4-0}(x-0) \\ y=-\frac{1}{4}x \end{gathered}$

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