Question

Write the standard form of the line that passes through (-1,-3) and (2,1)

Answer 1

Answer:

$5 = - 2x - y$
To find this you must find the slope first:
$\frac{y - y1}{x - x1}$
which is, after performing some calculating is -2.

Next you need to set up your eqaution:
$y - y1 = m(x - x1)$
when you set it up, and substitute the variables for your slope and points you should get this:
$y - ( - 3) = - 2(x - 1)$
$y + 3 = - 2x - 2$
add 2 to both sides
$y + 5 = - 2x$
subtract y from both sides
$5 = - 2x - y$