Use an equation to find the value of k so that the line that passes through the given points has the given slope.
(1,3), (5,k); m=2
slope = [difference in y values] / [difference in x values]
2 = [k - 3] / [5 - 1]
2 = [k - 3] / 4
Multiply both sides of the equation by 4 .
8 = k - 3
Add 3 to both sides of the equation.
11 = k