Question

What is the equation of the following line? Be sure to scroll down first to see app options.

Answer 1

The equation of a line given two points can be calculated by the formula:

`\begin{gathered} (y_2-y_1)/(x_2-x_1)=(y-y_1)/(x-x_1) \\ \text{Given the two points on the graph to be} \\ (x_1,y_1)=(0,0) \\ (x_2,y_2)=(1,9) \end{gathered}`

Plugging in the coordinate values into the formula, we have

`\begin{gathered} (9-0)/(1-0)=(y-0)/(x-0) \\ (9)/(1)=(y)/(x) \\ y=9x \end{gathered}`

Therefore, the equation of the line given is

`y=9x`