Question

find a line for an equation passing through (1,2) and parallel to it with the line given:y=3x-2 ....and also perpendicular

Answer 1

The equation of the line through (1,2) must use the slope from the other give equation. Since I am looking for a PARALLEL line the slopes will be the SAME.
Hence m = 3
Now plug (1,2) and m=3 into the POINT-SLOPE formula and simplify

So y-y1 =m(x-x1)

y-2=3(x-1)

y-2 =3x-3
y = 3x -1

Answer 2

ok i get it thank you...but what about the perpendicular?

Answer 3

perpendicular lines have OPPOSITE RECIPROCAL slopes so change the sign and flip that junt

Answer 4

lol