Question

Find the equation of the line that passes through (3,-2) and whose m=1/2

Answer 1

$y=m x+c$

If $m=\frac{1}{2}$

Then:

$y=\frac{1}{2} x+c$

Sub in the coordinates given to you:

$-2=\frac{1}{2} *3+c$

Now:

$\frac{1}{2}*3=1.5$

Move 1.5 to the other side of the equation and flip the sign.

$-2-1.5=c$

Therefore, $c = -3.5$.

Replace in the formula (y=mx+c):

$y=\frac{1}{2}x-3.5$

There is your answer.