4. write an equation of the line that passes through the points (-1, 3) and (2, -3).

a. y = -2x + 1
b. y = -2x + 5
c. y = (-½)x + (5/2)
d. y = (-½)x + (½)

Find the slope
slope formula is
(y₂ - y₁) = m(x₂ - x₁)
plug the given coordinates
y₂ = -3                       y₁ = 3
x₂ = 2                        x₁ = -1
(-3 - 3) = m(2 -(-1))
-6 = m(3)
Divide by 3

3 and 3 cancels out
-2 = m

Now, we know the slope, the equation of a line is:
   y = mx + c
So plug in any of the given coordinates with its slope to find c
-3 = (-2)(2) + c
-3 = -4 + c
add 4 to either sides
 -3 = -4 + c
 +4  +4
1 = c
so the equation of this line is
y = -2x + 1
Answer is A. y = -2x + 1

2/1 or just 2. sorry if i get this wrong

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.