Answer :

The best and most correct answers among the choices provided from your question about the slope of Line AB is the third choice or letter c. positive. Based on my calculations, the slope is 1/3 using the two-point slope form which is equal to: (y2-y1)/(x2-x1). Hope this has come to your help.
carlosego

For this case we have that by definition, the slope of a line, is given by:

[tex]m = \frac {y2-y1} {x2-x1}[/tex]

We have then:

[tex](x2, y2) = (4, 5)\\(x1, y1) = (- 2, 3)[/tex]

Substituting values we have:

[tex]m = \frac {5-3} {4 - (- 2)}[/tex]

Rewriting we have:

[tex]m = \frac {2} {4 + 2}\\m = \frac {2} {6}\\m = \frac {1} {3}[/tex]

We observe that the slope is a positive number.

Answer:

Line AB has a slope that is:

c. positive