Question

(-1, 2) and (3, k + 3); m =3/4​

Answer 1

k=2

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!

Answer 2

k = 2

Explanation:

Slope Formula:
`m=(y_2-y_1)/(x_2-x_1)`

Step 1: Replace variables

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

Step 2: Combine like terms

`(k+1)/(4) =(3)/(4)`

Step 3: Solve for k

k + 1 = 3

k = 2