B.) 5

C.) 6

D.) 7

E.) 8

y2 - y1

---------- = slope of a line

x2 - x1

The points have coordinates of (x1 , y1) and (x2 , y2)

7 - 1 3

------- = ---- {substituted given values into slope formula}

k - 1 2

6 3

----- = ---- {subtracted 7 - 1 in first fraction}

k - 1 2

3(k - 1) = 6(2) {cross-multiplied to solve the proportion}

3k - 3 = 12 {used distributive property on left}

3k = 15 {added 3 to both sides}

k = 5 {divided both sides by 3}

**B.) 5**

**- Algebra House**