The slope m of a line passing through points P(a, b) and Q(c, d) is found using the formula:
[tex]m= \frac{b-d}{a-c} [/tex].
Thus, the slope in A is [tex]m= \frac{12-2}{-4-(-10)}=\frac{10}{6}=\frac{5}{3}[/tex].
The slope in B is [tex]m= \frac{-4-10}{6-18}=\frac{-14}{-12}=\frac{7}{6}[/tex].
Now, to compare 7/6 to 5/3, we can write the second fraction as 10/6.
So, the slope in A is larger than the slope in B.
Answer: A
