Answer:
Option C. [tex]15[/tex]
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]T(13,2)\ W(x2,-5)[/tex]
[tex]m=-\frac{7}{2}[/tex]
Substitute the values and solve for x2
[tex]-\frac{7}{2}=\frac{-5-2}{x2-13}[/tex]
[tex]-\frac{7}{2}=\frac{-7}{x2-13}[/tex]
equate the denominators
[tex]x2-13=2\\x2=2+13\\ x2=15[/tex]
