(-1, 2) and (3, k + 3); m =3/4

k = 2

Step-by-step explanation:

Slope Formula:

Step 1: Replace variables

Step 2: Combine like terms

Step 3: Solve for k

k + 1 = 3

k = 2

k=2

Step-by-step explanation:

The slope is 3/4

The slope formula is (y1-y2)/(x1-x2)

We can plug the values in

(2-k-3)/(-1-3)=3/4

Combine like terms

(-1-k)/-4=3/4

Cross multiply

-12= -4 - 4k

-8=-4k

k=2

Hope this helps!