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:

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

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

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

Therefore the equation we are looking for is:

$y=\frac{1}{8}x$