Question

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

Answer 1

The equation is;

`V=3t+0`

Step-by-step 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=(\Delta y)/(\Delta x)=(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=(6-0)/(2-0) \\ m=(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`