Question

1) Choose the equation of the line passing through the point (-2, 4) and perpendicular to y = - 1/2 x + 4

1. y = 2x + 8
2. y = 2x
3. y = -2x - 8
4. y = -2x
2) Choose the equation of the line passing through the point (-2, 6) and parallel to y = 1/2 x - 8

1. y = 1/2 x + 7
2. y = 1/2 x + 5
3. y = 2x + 7
4. y = 2x + 5
3) Choose the equation of the horizontal line that passes through the point (-8, -7)

1. y = -8
2. y = -7
3. x = -8
4. x = -7

Answer 1

1) perpendicular= opp. reciprocal (flip fraction) of slope
slope=2
y=2x+b
(plug in x,y into this) x,y is (-2,4) in this case
4=2(-2)+b
b= 8
y=2x+8

2)do the same thing as above EXCEPT keep the slope the same because
parallel= same slope as the equation
so, y=1/2x+b
plug in x,y

6=1/2(-2)+b

b= 7
y=1/2x+7

i think you are missing 1/2x in choice 1.

3) when y= (any value) it's an horizontal
when x= (any value) it's a vertical line

(-8,-7) so (x,y) for a HORIZONTAL line, it would be y= -7

Answer 2

Yeah, on the first two options in #2 I forgot to put the 1/2 in front of the x. Anyways, thank you so much for helping me with those problems! I'll give you a medal too. :)

Answer 3

ty, have a nice day :D

Answer 4

Welcome, you too!