Question

Find the equation of the line

Answer 1

`y=2x-3`

Explanation:

We have that the equation in its slope and intercept form is the following:

`\begin{gathered} y=mx+b \\ \text{ where m is the slope and b is y-intercept} \end{gathered}`

the slope can be calculated like this:

`m=(y_2-y_1)/(x_2-x_1)`

we replace the points (2,1) and (0, -3)

`m=(-3-1)/(0-2)=(-4)/(-2)=2`

The y-intercept in this case is (0, -3), therefore the equation of the line would be:

`y=2x-3`