write a linear equation to fit each situation or description.

Question

1) the line through (2,4) parallel to the x axis.
2) the line through (2,4) perpendicular to the x axis.
3) the line through (3,1) perpendicular to y=4x-3.
4) the line through (-2,5) parallel to y=-3x.
5) the line through (-1,-4) parallel to 2x-3y=4.
6) the line perpendicular to 4x-y+5=0 at its y intercepts.

i don't understand what it is asking for. can someone please explain and help me?

Answer 1

these are all point-slope problems.

#3: y=4x-3 has slope 4, so your line has slope -1/4, and its equation will be

y-1 = -1/4 (x-3)

Answer 2

are these correct?

1) y=4
2) x=2
4) y=-3x-1
5) y+4=2/3x+1
6) y=4x+5

Answer 3

all are ok, except #5 should be y+4 = 2/3 (x+1)

It makes a difference!