Question

‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️Which of the following are point-slope equations of the line going through

(-2,-2) and (2, 1)? Check all that apply.
A. y+2 =3/4 (x+2)
B. y-2 =-3/4 (x-1)
C. y-2 = 3/4(x-2)
D. y+2 = -3/4(x + 2)
E. y-1 =-3/4 (x - 2)
F. y-1 =3/4 (x-2)

Answer 1

The point-slope equation is...
y-y1=m(x-x1)
m=slope
To complete point-slope formula, we would input one set of coordinates.
(-3, 4) and (2, 1)
FIRST SET...
y-4=m(x--3)
y-4=m(x+3)

SECOND SET
y-1=m(x-2)

I am having a hard time interpreting your pasted copy of the possible answers. However, I can see that the slope is considered negative in all but the last answer.
Slope is defined as 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
It is a negative number. Yo