I need help understanding this ASAP plz, I have a quiz over this next week

Step-by-step explanation:

With any two points, you can find the line between them with:

#1:

(-1, 1) -> (1, 3)

(3, 4) -> (0, 2)

(0, 1) -> (3, 3)

Lines b and c are parallel because they have the same slopes

#2 is a bit easier

a: 2y = x + 12,

b:2y - x = 5,

c: 2y + x = 4,

Since lines a and b have the same slope, they are parallel

#3:

(1, 3), y = 2x - 5

We have to find a line with a slope of 2 that passes through the two points

#4:

(-2, 1) , y = -4x + 3

We have to find a line with a slope of-4 that passes through the line

#5:

(-2, 3) (1, -1),

(-3, 1) (1, 4),

(0, 2) (3, -2)

Since lines c and b have negative reciprocal slopes, they are perpendicular

#6:

a: y = -4x + 7

b: x = 4y + 2,

c: -4y + x = 3,

since lines a and c have negative reciprocal slopes, they are perpendicular

2x^2+5x+17

your welcome. : )