Answer:
The solution of given problem is k = 11
Step-by-step explanation:
slope of given two points formula:-
slope m = [tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex] .....(1)
Given points are (1,3) and (5,k)
given slope m = 2
now substituting m =2 and the given points are (1,3) and (5,k)
[tex]2 = \frac{k-3}{5-1}[/tex]
on simplification we get solution
[tex]k-3 = 8[/tex]
[tex]k = 8 +3[/tex]
[tex]k = 11[/tex]
