Question

Write an equation of a line with points (8,1) ) (16,2) (24,3) (0,0)

Answer 1

The equation of a line between two points (x1,y1) and (x2,y2) is given by:

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

Plugging the values of the points (8,1) and (16,2) we have:

`\begin{gathered} y-1=(2-1)/(16-8)(x-8) \\ y-1=(1)/(8)(x-8) \\ y-1=(1)/(8)x-1 \\ y=(1)/(8)x \end{gathered}`

Therefore the equation we are looking for is:

`y=(1)/(8)x`