Question

find the equation of the line

Answer 1

ANSWER:

$y=2x-3$

STEP-BY-STEP 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:

$m=\frac{y_2-y_1}{x_2-x_1}$

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

$m=\frac{-3-1}{0-2}=\frac{-4}{-2}=2$

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

$y=2x-3$