Question

write an equation for the original line on the grid.V=__t + __

Answer 1

Answer:

The equation is;

$V=3t+0$

Explanation:

From the given graph;

The original line is the black line.

The original line starts from the origin (0,0), so its intercept is zero;

$b=0$

Let us calculate the slope of the line;

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

substituting the coordinates of two points on the line;

$\begin{gathered} (0,0)\text{ and (2,6)} \\ m=\frac{6-0}{2-0} \\ m=\frac{6}{2} \\ m=3 \end{gathered}$

Therefore, the equation of the original can be written in the slope intercept form as;

$\begin{gathered} y=mx+b \\ \text{substituting the slope and intercept;} \\ V=3t+0 \\ V=3t \end{gathered}$

The equation is;

$V=3t+0$