Question

when writing linear equations how do you determine which form of the
line to use

Answer 1

If you are given/find the slope and a point you use point-slope form
\[y-y_1=m(x-x_1)\]
and if you have the y-intercept and the slope we use slope-intercept form
\[y=mx+b\]
from either we can get to the general form of a line
\[ax+by+c=0\]
Let me know if you need more clarification

Answer 2

Thank you!