0 0 Which of the following are point-slope equations of the line going through (-3, 4) and (2, 1)? Check all that apply.

Question

A. y - 1 = - 3/5(x - 2)
B. y - 4 = - 3/5(x + 3)
C. y - 4 = -5/3 (x + 3)
D. y + 3 = -3/5 (x - 4)
E. y - 1 = -5/3 (x - 2)
F. y + 2 = 3/5 (x - 1)

Answer 1

Hi Alina;

You are correct in that we should start the whole thing over again.

Slope is change-of-y divided by change-of-x.

m=(y-y₁)/(x-x₁)

(-3, 4) and (2, 1)

m=(4-1)/(-3-2)

m=3/-5

m=-3/5

 

Point-slope formula is...

y-y₁=m(x-x₁)

We will apply one point.  Let's begin with (-3, 4)...

y-4=(-3/5)(x--3)

y-4=(-3/5)(x+3)

B. y - 4 = - 3/5(x + 3)

 

Second point, (2, 1)...

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

A. y - 1 = - 3/5(x - 2)