Hi Maria;

The point-slope equation is...

y-y

_{1}=m(x-x_{1})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-y

_{1})/(x-x_{1})(-3, 4) and (2, 1)

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

m=3/-5

m=-3/5

It is a negative number.

I would like to provide more help and select which are the correct answers. I cannot. Please let me know if you need more help.