Write an equation if the line that passes through the givin points

First plug in the points in the formula
y-y1=m(x-x1) i forgot what this formula is called
m is the slope
to find slope just count rise/run in the line
parallel lines have the same slope
perpendicular lines have opposite reciprocal slopes
12) a) y-2=3(x-6)
distribute and simplify
y-2=3x-18
add 2 to both sides
y=3x-16
12) b) y-2=-1/3(x-6)
distribute and simplify
y-2=-1/3x+2
add 2 to both sides
y=-1/3x+4
13)a) y+3=-1/2(x+2)
distribute and simplify
y+3=-1/2x-1
subtract 3 from both sides
y=-1/2-4
13)b) y+3=2(x+2)
distribute and simplify
y+3=2x+4
subtract 3 from both sides
y=2x+1
14)a) y-0=-4(x+4)
distribute and simplify
y=-4x-16
14)b) y-0=1/4(x+4)
distribute and simplify
y=1/4x+1